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Finding the Fourth Proportional to 237.92, 356.20 and 165.64

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Solution

The fourth proportional to 237.92, 356.20 and 165.64 is: 247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.92 : 356.20 = 165.64 : x
  2. Step 2: Convert to fraction form
    237.92/356.20 = 165.64/x
  3. Step 3: Cross multiply
    237.92x = 356.20 × 165.64
  4. Step 4: Simplify right side
    237.92x = 59,000.97
  5. Step 5: Solve for x
    x = 59,000.97/237.92
  6. Step 6: Final answer
    x = 247.99

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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.