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Finding the Fourth Proportional to 138.10, 206.36 and 116.50

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Solution

The fourth proportional to 138.10, 206.36 and 116.50 is: 174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.10 : 206.36 = 116.50 : x
  2. Step 2: Convert to fraction form
    138.10/206.36 = 116.50/x
  3. Step 3: Cross multiply
    138.10x = 206.36 × 116.50
  4. Step 4: Simplify right side
    138.10x = 24,040.94
  5. Step 5: Solve for x
    x = 24,040.94/138.10
  6. Step 6: Final answer
    x = 174.08

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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.