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Finding the Fourth Proportional to 152.38, 229.60 and 125.92

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Solution

The fourth proportional to 152.38, 229.60 and 125.92 is: 189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.38 : 229.60 = 125.92 : x
  2. Step 2: Convert to fraction form
    152.38/229.60 = 125.92/x
  3. Step 3: Cross multiply
    152.38x = 229.60 × 125.92
  4. Step 4: Simplify right side
    152.38x = 28,911.23
  5. Step 5: Solve for x
    x = 28,911.23/152.38
  6. Step 6: Final answer
    x = 189.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.