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Finding the Fourth Proportional to 158.71, 218.77 and 127.57

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Solution

The fourth proportional to 158.71, 218.77 and 127.57 is: 175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.71 : 218.77 = 127.57 : x
  2. Step 2: Convert to fraction form
    158.71/218.77 = 127.57/x
  3. Step 3: Cross multiply
    158.71x = 218.77 × 127.57
  4. Step 4: Simplify right side
    158.71x = 27,908.49
  5. Step 5: Solve for x
    x = 27,908.49/158.71
  6. Step 6: Final answer
    x = 175.85

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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.