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Finding the Fourth Proportional to 616.39, 924.54 and 205.49

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Solution

The fourth proportional to 616.39, 924.54 and 205.49 is: 308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.39 : 924.54 = 205.49 : x
  2. Step 2: Convert to fraction form
    616.39/924.54 = 205.49/x
  3. Step 3: Cross multiply
    616.39x = 924.54 × 205.49
  4. Step 4: Simplify right side
    616.39x = 189,983.72
  5. Step 5: Solve for x
    x = 189,983.72/616.39
  6. Step 6: Final answer
    x = 308.22

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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.