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Finding the Fourth Proportional to 615.90, 923.82 and 205.02

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Solution

The fourth proportional to 615.90, 923.82 and 205.02 is: 307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.90 : 923.82 = 205.02 : x
  2. Step 2: Convert to fraction form
    615.90/923.82 = 205.02/x
  3. Step 3: Cross multiply
    615.90x = 923.82 × 205.02
  4. Step 4: Simplify right side
    615.90x = 189,401.58
  5. Step 5: Solve for x
    x = 189,401.58/615.90
  6. Step 6: Final answer
    x = 307.52

Related Problems

Find fourth proportional to 307.95, 461.91 and 102.51
Half scale
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Double scale
Find fourth proportional to 616.90, 925.32 and 206.02
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.