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Finding the Fourth Proportional to 410.07, 616.13 and 363.99

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Solution

The fourth proportional to 410.07, 616.13 and 363.99 is: 546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.07 : 616.13 = 363.99 : x
  2. Step 2: Convert to fraction form
    410.07/616.13 = 363.99/x
  3. Step 3: Cross multiply
    410.07x = 616.13 × 363.99
  4. Step 4: Simplify right side
    410.07x = 224,263.34
  5. Step 5: Solve for x
    x = 224,263.34/410.07
  6. Step 6: Final answer
    x = 546.89

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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.