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Finding the Fourth Proportional to 237.98, 357.10 and 129.84

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Solution

The fourth proportional to 237.98, 357.10 and 129.84 is: 194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.98 : 357.10 = 129.84 : x
  2. Step 2: Convert to fraction form
    237.98/357.10 = 129.84/x
  3. Step 3: Cross multiply
    237.98x = 357.10 × 129.84
  4. Step 4: Simplify right side
    237.98x = 46,365.86
  5. Step 5: Solve for x
    x = 46,365.86/237.98
  6. Step 6: Final answer
    x = 194.83

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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.