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Finding the Fourth Proportional to 138.50, 207.80 and 108.08

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Solution

The fourth proportional to 138.50, 207.80 and 108.08 is: 162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.50 : 207.80 = 108.08 : x
  2. Step 2: Convert to fraction form
    138.50/207.80 = 108.08/x
  3. Step 3: Cross multiply
    138.50x = 207.80 × 108.08
  4. Step 4: Simplify right side
    138.50x = 22,459.02
  5. Step 5: Solve for x
    x = 22,459.02/138.50
  6. Step 6: Final answer
    x = 162.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.