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Finding the Fourth Proportional to 158.67, 238.31 and 151.48

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Solution

The fourth proportional to 158.67, 238.31 and 151.48 is: 227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.67 : 238.31 = 151.48 : x
  2. Step 2: Convert to fraction form
    158.67/238.31 = 151.48/x
  3. Step 3: Cross multiply
    158.67x = 238.31 × 151.48
  4. Step 4: Simplify right side
    158.67x = 36,099.20
  5. Step 5: Solve for x
    x = 36,099.20/158.67
  6. Step 6: Final answer
    x = 227.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.