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Finding the Fourth Proportional to 116.14, 160.20 and 72.40

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Solution

The fourth proportional to 116.14, 160.20 and 72.40 is: 99.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.14 : 160.20 = 72.40 : x
  2. Step 2: Convert to fraction form
    116.14/160.20 = 72.40/x
  3. Step 3: Cross multiply
    116.14x = 160.20 × 72.40
  4. Step 4: Simplify right side
    116.14x = 11,598.48
  5. Step 5: Solve for x
    x = 11,598.48/116.14
  6. Step 6: Final answer
    x = 99.87

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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.