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Finding the Fourth Proportional to 137.47, 205.34 and 125.32

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Solution

The fourth proportional to 137.47, 205.34 and 125.32 is: 187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.47 : 205.34 = 125.32 : x
  2. Step 2: Convert to fraction form
    137.47/205.34 = 125.32/x
  3. Step 3: Cross multiply
    137.47x = 205.34 × 125.32
  4. Step 4: Simplify right side
    137.47x = 25,733.21
  5. Step 5: Solve for x
    x = 25,733.21/137.47
  6. Step 6: Final answer
    x = 187.19

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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.