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Finding the Fourth Proportional to 616.38, 924.18 and 307.98

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Solution

The fourth proportional to 616.38, 924.18 and 307.98 is: 461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.38 : 924.18 = 307.98 : x
  2. Step 2: Convert to fraction form
    616.38/924.18 = 307.98/x
  3. Step 3: Cross multiply
    616.38x = 924.18 × 307.98
  4. Step 4: Simplify right side
    616.38x = 284,628.96
  5. Step 5: Solve for x
    x = 284,628.96/616.38
  6. Step 6: Final answer
    x = 461.78

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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.