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Finding the Fourth Proportional to 615.82, 923.87 and 205.09

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Solution

The fourth proportional to 615.82, 923.87 and 205.09 is: 307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.82 : 923.87 = 205.09 : x
  2. Step 2: Convert to fraction form
    615.82/923.87 = 205.09/x
  3. Step 3: Cross multiply
    615.82x = 923.87 × 205.09
  4. Step 4: Simplify right side
    615.82x = 189,476.50
  5. Step 5: Solve for x
    x = 189,476.50/615.82
  6. Step 6: Final answer
    x = 307.68

Related Problems

Find fourth proportional to 307.91, 461.94 and 102.55
Half scale
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Double scale
Find fourth proportional to 616.82, 925.37 and 206.09
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.