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Finding the Fourth Proportional to 330.20, 497.93 and 291.80

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Solution

The fourth proportional to 330.20, 497.93 and 291.80 is: 440.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.20 : 497.93 = 291.80 : x
  2. Step 2: Convert to fraction form
    330.20/497.93 = 291.80/x
  3. Step 3: Cross multiply
    330.20x = 497.93 × 291.80
  4. Step 4: Simplify right side
    330.20x = 145,295.97
  5. Step 5: Solve for x
    x = 145,295.97/330.20
  6. Step 6: Final answer
    x = 440.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.