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Finding the Fourth Proportional to 102.24, 152.70 and 91.46

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Solution

The fourth proportional to 102.24, 152.70 and 91.46 is: 136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.24 : 152.70 = 91.46 : x
  2. Step 2: Convert to fraction form
    102.24/152.70 = 91.46/x
  3. Step 3: Cross multiply
    102.24x = 152.70 × 91.46
  4. Step 4: Simplify right side
    102.24x = 13,965.18
  5. Step 5: Solve for x
    x = 13,965.18/102.24
  6. Step 6: Final answer
    x = 136.59

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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.