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Finding the Fourth Proportional to 138.12, 206.08 and 117.60

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Solution

The fourth proportional to 138.12, 206.08 and 117.60 is: 175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.12 : 206.08 = 117.60 : x
  2. Step 2: Convert to fraction form
    138.12/206.08 = 117.60/x
  3. Step 3: Cross multiply
    138.12x = 206.08 × 117.60
  4. Step 4: Simplify right side
    138.12x = 24,235.01
  5. Step 5: Solve for x
    x = 24,235.01/138.12
  6. Step 6: Final answer
    x = 175.46

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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.