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Finding the Fourth Proportional to 103.31, 154.13 and 100.52

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Solution

The fourth proportional to 103.31, 154.13 and 100.52 is: 149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.31 : 154.13 = 100.52 : x
  2. Step 2: Convert to fraction form
    103.31/154.13 = 100.52/x
  3. Step 3: Cross multiply
    103.31x = 154.13 × 100.52
  4. Step 4: Simplify right side
    103.31x = 15,492.65
  5. Step 5: Solve for x
    x = 15,492.65/103.31
  6. Step 6: Final answer
    x = 149.96

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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.