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Finding the Fourth Proportional to 138.60, 211.12 and 138.60

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Solution

The fourth proportional to 138.60, 211.12 and 138.60 is: 211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.60 : 211.12 = 138.60 : x
  2. Step 2: Convert to fraction form
    138.60/211.12 = 138.60/x
  3. Step 3: Cross multiply
    138.60x = 211.12 × 138.60
  4. Step 4: Simplify right side
    138.60x = 29,261.23
  5. Step 5: Solve for x
    x = 29,261.23/138.60
  6. Step 6: Final answer
    x = 211.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.