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Finding the Fourth Proportional to 280.68, 421.17 and 237.87

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Solution

The fourth proportional to 280.68, 421.17 and 237.87 is: 356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.68 : 421.17 = 237.87 : x
  2. Step 2: Convert to fraction form
    280.68/421.17 = 237.87/x
  3. Step 3: Cross multiply
    280.68x = 421.17 × 237.87
  4. Step 4: Simplify right side
    280.68x = 100,183.71
  5. Step 5: Solve for x
    x = 100,183.71/280.68
  6. Step 6: Final answer
    x = 356.93

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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.