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Finding the Fourth Proportional to 138.54, 208.06 and 98.16

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Solution

The fourth proportional to 138.54, 208.06 and 98.16 is: 147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.54 : 208.06 = 98.16 : x
  2. Step 2: Convert to fraction form
    138.54/208.06 = 98.16/x
  3. Step 3: Cross multiply
    138.54x = 208.06 × 98.16
  4. Step 4: Simplify right side
    138.54x = 20,423.17
  5. Step 5: Solve for x
    x = 20,423.17/138.54
  6. Step 6: Final answer
    x = 147.42

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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.