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Finding the Fourth Proportional to 138.56, 206.66 and 117.03

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Solution

The fourth proportional to 138.56, 206.66 and 117.03 is: 174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.56 : 206.66 = 117.03 : x
  2. Step 2: Convert to fraction form
    138.56/206.66 = 117.03/x
  3. Step 3: Cross multiply
    138.56x = 206.66 × 117.03
  4. Step 4: Simplify right side
    138.56x = 24,184.83
  5. Step 5: Solve for x
    x = 24,184.83/138.56
  6. Step 6: Final answer
    x = 174.55

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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.