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Finding the Fourth Proportional to 102.25, 152.54 and 99.46

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Solution

The fourth proportional to 102.25, 152.54 and 99.46 is: 148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.25 : 152.54 = 99.46 : x
  2. Step 2: Convert to fraction form
    102.25/152.54 = 99.46/x
  3. Step 3: Cross multiply
    102.25x = 152.54 × 99.46
  4. Step 4: Simplify right side
    102.25x = 15,170.75
  5. Step 5: Solve for x
    x = 15,170.75/102.25
  6. Step 6: Final answer
    x = 148.37

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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.