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Finding the Fourth Proportional to 116.00, 173.90 and 55.16

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Solution

The fourth proportional to 116.00, 173.90 and 55.16 is: 82.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.00 : 173.90 = 55.16 : x
  2. Step 2: Convert to fraction form
    116.00/173.90 = 55.16/x
  3. Step 3: Cross multiply
    116.00x = 173.90 × 55.16
  4. Step 4: Simplify right side
    116.00x = 9,592.91
  5. Step 5: Solve for x
    x = 9,592.91/116.00
  6. Step 6: Final answer
    x = 82.70

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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.