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Finding the Fourth Proportional to 101.46, 138.78 and 101.46

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Solution

The fourth proportional to 101.46, 138.78 and 101.46 is: 138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.46 : 138.78 = 101.46 : x
  2. Step 2: Convert to fraction form
    101.46/138.78 = 101.46/x
  3. Step 3: Cross multiply
    101.46x = 138.78 × 101.46
  4. Step 4: Simplify right side
    101.46x = 14,080.62
  5. Step 5: Solve for x
    x = 14,080.62/101.46
  6. Step 6: Final answer
    x = 138.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.