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Finding the Fourth Proportional to 158.74, 218.88 and 127.72

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Solution

The fourth proportional to 158.74, 218.88 and 127.72 is: 176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.74 : 218.88 = 127.72 : x
  2. Step 2: Convert to fraction form
    158.74/218.88 = 127.72/x
  3. Step 3: Cross multiply
    158.74x = 218.88 × 127.72
  4. Step 4: Simplify right side
    158.74x = 27,955.35
  5. Step 5: Solve for x
    x = 27,955.35/158.74
  6. Step 6: Final answer
    x = 176.11

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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.