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Finding the Fourth Proportional to 135.65, 202.47 and 125.61

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Solution

The fourth proportional to 135.65, 202.47 and 125.61 is: 187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.65 : 202.47 = 125.61 : x
  2. Step 2: Convert to fraction form
    135.65/202.47 = 125.61/x
  3. Step 3: Cross multiply
    135.65x = 202.47 × 125.61
  4. Step 4: Simplify right side
    135.65x = 25,432.26
  5. Step 5: Solve for x
    x = 25,432.26/135.65
  6. Step 6: Final answer
    x = 187.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.