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Finding the Fourth Proportional to 237.90, 356.58 and 129.66

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Solution

The fourth proportional to 237.90, 356.58 and 129.66 is: 194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.90 : 356.58 = 129.66 : x
  2. Step 2: Convert to fraction form
    237.90/356.58 = 129.66/x
  3. Step 3: Cross multiply
    237.90x = 356.58 × 129.66
  4. Step 4: Simplify right side
    237.90x = 46,234.16
  5. Step 5: Solve for x
    x = 46,234.16/237.90
  6. Step 6: Final answer
    x = 194.34

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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.