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Finding the Fourth Proportional to 330.06, 495.65 and 247.80

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Solution

The fourth proportional to 330.06, 495.65 and 247.80 is: 372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.06 : 495.65 = 247.80 : x
  2. Step 2: Convert to fraction form
    330.06/495.65 = 247.80/x
  3. Step 3: Cross multiply
    330.06x = 495.65 × 247.80
  4. Step 4: Simplify right side
    330.06x = 122,820.83
  5. Step 5: Solve for x
    x = 122,820.83/330.06
  6. Step 6: Final answer
    x = 372.12

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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.