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Finding the Fourth Proportional to 486.84, 672.10 and 321.32

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Solution

The fourth proportional to 486.84, 672.10 and 321.32 is: 443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.84 : 672.10 = 321.32 : x
  2. Step 2: Convert to fraction form
    486.84/672.10 = 321.32/x
  3. Step 3: Cross multiply
    486.84x = 672.10 × 321.32
  4. Step 4: Simplify right side
    486.84x = 215,959.17
  5. Step 5: Solve for x
    x = 215,959.17/486.84
  6. Step 6: Final answer
    x = 443.59

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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.