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Finding the Fourth Proportional to 102.47, 154.47 and 91.19

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Solution

The fourth proportional to 102.47, 154.47 and 91.19 is: 137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.47 : 154.47 = 91.19 : x
  2. Step 2: Convert to fraction form
    102.47/154.47 = 91.19/x
  3. Step 3: Cross multiply
    102.47x = 154.47 × 91.19
  4. Step 4: Simplify right side
    102.47x = 14,086.85
  5. Step 5: Solve for x
    x = 14,086.85/102.47
  6. Step 6: Final answer
    x = 137.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.