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Finding the Fourth Proportional to 239.10, 330.03 and 151.80

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Solution

The fourth proportional to 239.10, 330.03 and 151.80 is: 209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.10 : 330.03 = 151.80 : x
  2. Step 2: Convert to fraction form
    239.10/330.03 = 151.80/x
  3. Step 3: Cross multiply
    239.10x = 330.03 × 151.80
  4. Step 4: Simplify right side
    239.10x = 50,098.55
  5. Step 5: Solve for x
    x = 50,098.55/239.10
  6. Step 6: Final answer
    x = 209.53

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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.