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Finding the Fourth Proportional to 237.20, 355.20 and 176.24

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Solution

The fourth proportional to 237.20, 355.20 and 176.24 is: 263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.20 : 355.20 = 176.24 : x
  2. Step 2: Convert to fraction form
    237.20/355.20 = 176.24/x
  3. Step 3: Cross multiply
    237.20x = 355.20 × 176.24
  4. Step 4: Simplify right side
    237.20x = 62,600.45
  5. Step 5: Solve for x
    x = 62,600.45/237.20
  6. Step 6: Final answer
    x = 263.91

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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.