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Finding the Fourth Proportional to 410.80, 616.46 and 237.81

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Solution

The fourth proportional to 410.80, 616.46 and 237.81 is: 356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.80 : 616.46 = 237.81 : x
  2. Step 2: Convert to fraction form
    410.80/616.46 = 237.81/x
  3. Step 3: Cross multiply
    410.80x = 616.46 × 237.81
  4. Step 4: Simplify right side
    410.80x = 146,600.35
  5. Step 5: Solve for x
    x = 146,600.35/410.80
  6. Step 6: Final answer
    x = 356.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.