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Finding the Fourth Proportional to 239.75, 330.80 and 145.25

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Solution

The fourth proportional to 239.75, 330.80 and 145.25 is: 200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.75 : 330.80 = 145.25 : x
  2. Step 2: Convert to fraction form
    239.75/330.80 = 145.25/x
  3. Step 3: Cross multiply
    239.75x = 330.80 × 145.25
  4. Step 4: Simplify right side
    239.75x = 48,046.32
  5. Step 5: Solve for x
    x = 48,046.32/239.75
  6. Step 6: Final answer
    x = 200.41

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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.