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Finding the Fourth Proportional to 239.98, 359.29 and 158.66

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Solution

The fourth proportional to 239.98, 359.29 and 158.66 is: 237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.98 : 359.29 = 158.66 : x
  2. Step 2: Convert to fraction form
    239.98/359.29 = 158.66/x
  3. Step 3: Cross multiply
    239.98x = 359.29 × 158.66
  4. Step 4: Simplify right side
    239.98x = 57,003.81
  5. Step 5: Solve for x
    x = 57,003.81/239.98
  6. Step 6: Final answer
    x = 237.54

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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.