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Finding the Fourth Proportional to 127.24, 176.25 and 116.98

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Solution

The fourth proportional to 127.24, 176.25 and 116.98 is: 162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.24 : 176.25 = 116.98 : x
  2. Step 2: Convert to fraction form
    127.24/176.25 = 116.98/x
  3. Step 3: Cross multiply
    127.24x = 176.25 × 116.98
  4. Step 4: Simplify right side
    127.24x = 20,618.02
  5. Step 5: Solve for x
    x = 20,618.02/127.24
  6. Step 6: Final answer
    x = 162.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.