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Finding the Fourth Proportional to 616.26, 923.79 and 205.19

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Solution

The fourth proportional to 616.26, 923.79 and 205.19 is: 307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.26 : 923.79 = 205.19 : x
  2. Step 2: Convert to fraction form
    616.26/923.79 = 205.19/x
  3. Step 3: Cross multiply
    616.26x = 923.79 × 205.19
  4. Step 4: Simplify right side
    616.26x = 189,547.85
  5. Step 5: Solve for x
    x = 189,547.85/616.26
  6. Step 6: Final answer
    x = 307.58

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Half scale
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Double scale
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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.