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Finding the Fourth Proportional to 138.23, 206.55 and 99.53

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Solution

The fourth proportional to 138.23, 206.55 and 99.53 is: 148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.23 : 206.55 = 99.53 : x
  2. Step 2: Convert to fraction form
    138.23/206.55 = 99.53/x
  3. Step 3: Cross multiply
    138.23x = 206.55 × 99.53
  4. Step 4: Simplify right side
    138.23x = 20,556.52
  5. Step 5: Solve for x
    x = 20,556.52/138.23
  6. Step 6: Final answer
    x = 148.72

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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.