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Finding the Fourth Proportional to 116.46, 160.32 and 88.78

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Solution

The fourth proportional to 116.46, 160.32 and 88.78 is: 122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.46 : 160.32 = 88.78 : x
  2. Step 2: Convert to fraction form
    116.46/160.32 = 88.78/x
  3. Step 3: Cross multiply
    116.46x = 160.32 × 88.78
  4. Step 4: Simplify right side
    116.46x = 14,233.21
  5. Step 5: Solve for x
    x = 14,233.21/116.46
  6. Step 6: Final answer
    x = 122.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.