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Finding the Fourth Proportional to 116.58, 160.91 and 72.34

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Solution

The fourth proportional to 116.58, 160.91 and 72.34 is: 99.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.58 : 160.91 = 72.34 : x
  2. Step 2: Convert to fraction form
    116.58/160.91 = 72.34/x
  3. Step 3: Cross multiply
    116.58x = 160.91 × 72.34
  4. Step 4: Simplify right side
    116.58x = 11,640.23
  5. Step 5: Solve for x
    x = 11,640.23/116.58
  6. Step 6: Final answer
    x = 99.85

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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.