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Finding the Fourth Proportional to 399.76, 599.32 and 237.68

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Solution

The fourth proportional to 399.76, 599.32 and 237.68 is: 356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.76 : 599.32 = 237.68 : x
  2. Step 2: Convert to fraction form
    399.76/599.32 = 237.68/x
  3. Step 3: Cross multiply
    399.76x = 599.32 × 237.68
  4. Step 4: Simplify right side
    399.76x = 142,446.38
  5. Step 5: Solve for x
    x = 142,446.38/399.76
  6. Step 6: Final answer
    x = 356.33

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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.