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Finding the Fourth Proportional to 330.80, 502.24 and 330.80

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Solution

The fourth proportional to 330.80, 502.24 and 330.80 is: 502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.80 : 502.24 = 330.80 : x
  2. Step 2: Convert to fraction form
    330.80/502.24 = 330.80/x
  3. Step 3: Cross multiply
    330.80x = 502.24 × 330.80
  4. Step 4: Simplify right side
    330.80x = 166,140.99
  5. Step 5: Solve for x
    x = 166,140.99/330.80
  6. Step 6: Final answer
    x = 502.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.