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Finding the Fourth Proportional to 138.12, 204.60 and 137.88

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Solution

The fourth proportional to 138.12, 204.60 and 137.88 is: 204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.12 : 204.60 = 137.88 : x
  2. Step 2: Convert to fraction form
    138.12/204.60 = 137.88/x
  3. Step 3: Cross multiply
    138.12x = 204.60 × 137.88
  4. Step 4: Simplify right side
    138.12x = 28,210.25
  5. Step 5: Solve for x
    x = 28,210.25/138.12
  6. Step 6: Final answer
    x = 204.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.