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Finding the Fourth Proportional to 353.80, 527.65 and 319.24

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Solution

The fourth proportional to 353.80, 527.65 and 319.24 is: 476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.80 : 527.65 = 319.24 : x
  2. Step 2: Convert to fraction form
    353.80/527.65 = 319.24/x
  3. Step 3: Cross multiply
    353.80x = 527.65 × 319.24
  4. Step 4: Simplify right side
    353.80x = 168,446.99
  5. Step 5: Solve for x
    x = 168,446.99/353.80
  6. Step 6: Final answer
    x = 476.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.