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Finding the Fourth Proportional to 814.16, 1,221.28 and 301.04

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Solution

The fourth proportional to 814.16, 1,221.28 and 301.04 is: 451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.16 : 1,221.28 = 301.04 : x
  2. Step 2: Convert to fraction form
    814.16/1,221.28 = 301.04/x
  3. Step 3: Cross multiply
    814.16x = 1,221.28 × 301.04
  4. Step 4: Simplify right side
    814.16x = 367,654.13
  5. Step 5: Solve for x
    x = 367,654.13/814.16
  6. Step 6: Final answer
    x = 451.57

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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.