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Finding the Fourth Proportional to 158.24, 235.78 and 149.43

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Solution

The fourth proportional to 158.24, 235.78 and 149.43 is: 222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.24 : 235.78 = 149.43 : x
  2. Step 2: Convert to fraction form
    158.24/235.78 = 149.43/x
  3. Step 3: Cross multiply
    158.24x = 235.78 × 149.43
  4. Step 4: Simplify right side
    158.24x = 35,232.61
  5. Step 5: Solve for x
    x = 35,232.61/158.24
  6. Step 6: Final answer
    x = 222.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.