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Finding the Fourth Proportional to 101.60, 138.40 and 101.12

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Solution

The fourth proportional to 101.60, 138.40 and 101.12 is: 137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.60 : 138.40 = 101.12 : x
  2. Step 2: Convert to fraction form
    101.60/138.40 = 101.12/x
  3. Step 3: Cross multiply
    101.60x = 138.40 × 101.12
  4. Step 4: Simplify right side
    101.60x = 13,995.01
  5. Step 5: Solve for x
    x = 13,995.01/101.60
  6. Step 6: Final answer
    x = 137.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.