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Finding the Fourth Proportional to 330.42, 495.60 and 86.97

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Solution

The fourth proportional to 330.42, 495.60 and 86.97 is: 130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.42 : 495.60 = 86.97 : x
  2. Step 2: Convert to fraction form
    330.42/495.60 = 86.97/x
  3. Step 3: Cross multiply
    330.42x = 495.60 × 86.97
  4. Step 4: Simplify right side
    330.42x = 43,102.33
  5. Step 5: Solve for x
    x = 43,102.33/330.42
  6. Step 6: Final answer
    x = 130.45

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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.