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Finding the Fourth Proportional to 88.96, 133.70 and 76.40

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Solution

The fourth proportional to 88.96, 133.70 and 76.40 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.96 : 133.70 = 76.40 : x
  2. Step 2: Convert to fraction form
    88.96/133.70 = 76.40/x
  3. Step 3: Cross multiply
    88.96x = 133.70 × 76.40
  4. Step 4: Simplify right side
    88.96x = 10,214.68
  5. Step 5: Solve for x
    x = 10,214.68/88.96
  6. Step 6: Final answer
    x = 114.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.