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Finding the Fourth Proportional to 102.31, 154.01 and 88.18

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Solution

The fourth proportional to 102.31, 154.01 and 88.18 is: 132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.31 : 154.01 = 88.18 : x
  2. Step 2: Convert to fraction form
    102.31/154.01 = 88.18/x
  3. Step 3: Cross multiply
    102.31x = 154.01 × 88.18
  4. Step 4: Simplify right side
    102.31x = 13,580.60
  5. Step 5: Solve for x
    x = 13,580.60/102.31
  6. Step 6: Final answer
    x = 132.74

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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.