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Finding the Fourth Proportional to 127.16, 175.41 and 99.49

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Solution

The fourth proportional to 127.16, 175.41 and 99.49 is: 137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.16 : 175.41 = 99.49 : x
  2. Step 2: Convert to fraction form
    127.16/175.41 = 99.49/x
  3. Step 3: Cross multiply
    127.16x = 175.41 × 99.49
  4. Step 4: Simplify right side
    127.16x = 17,451.10
  5. Step 5: Solve for x
    x = 17,451.10/127.16
  6. Step 6: Final answer
    x = 137.23

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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.