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Finding the Fourth Proportional to 138.47, 206.83 and 126.32

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Solution

The fourth proportional to 138.47, 206.83 and 126.32 is: 188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.47 : 206.83 = 126.32 : x
  2. Step 2: Convert to fraction form
    138.47/206.83 = 126.32/x
  3. Step 3: Cross multiply
    138.47x = 206.83 × 126.32
  4. Step 4: Simplify right side
    138.47x = 26,126.77
  5. Step 5: Solve for x
    x = 26,126.77/138.47
  6. Step 6: Final answer
    x = 188.68

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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.