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Finding the Fourth Proportional to 486.90, 672.06 and 321.24

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Solution

The fourth proportional to 486.90, 672.06 and 321.24 is: 443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.90 : 672.06 = 321.24 : x
  2. Step 2: Convert to fraction form
    486.90/672.06 = 321.24/x
  3. Step 3: Cross multiply
    486.90x = 672.06 × 321.24
  4. Step 4: Simplify right side
    486.90x = 215,892.55
  5. Step 5: Solve for x
    x = 215,892.55/486.90
  6. Step 6: Final answer
    x = 443.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.