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Finding the Fourth Proportional to 239.68, 330.51 and 180.80

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Solution

The fourth proportional to 239.68, 330.51 and 180.80 is: 249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.68 : 330.51 = 180.80 : x
  2. Step 2: Convert to fraction form
    239.68/330.51 = 180.80/x
  3. Step 3: Cross multiply
    239.68x = 330.51 × 180.80
  4. Step 4: Simplify right side
    239.68x = 59,756.21
  5. Step 5: Solve for x
    x = 59,756.21/239.68
  6. Step 6: Final answer
    x = 249.32

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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.