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Finding the Fourth Proportional to 158.24, 218.28 and 92.74

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Solution

The fourth proportional to 158.24, 218.28 and 92.74 is: 127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.24 : 218.28 = 92.74 : x
  2. Step 2: Convert to fraction form
    158.24/218.28 = 92.74/x
  3. Step 3: Cross multiply
    158.24x = 218.28 × 92.74
  4. Step 4: Simplify right side
    158.24x = 20,243.29
  5. Step 5: Solve for x
    x = 20,243.29/158.24
  6. Step 6: Final answer
    x = 127.93

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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.