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Finding the Fourth Proportional to 322.52, 486.23 and 318.20

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Solution

The fourth proportional to 322.52, 486.23 and 318.20 is: 479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.52 : 486.23 = 318.20 : x
  2. Step 2: Convert to fraction form
    322.52/486.23 = 318.20/x
  3. Step 3: Cross multiply
    322.52x = 486.23 × 318.20
  4. Step 4: Simplify right side
    322.52x = 154,718.39
  5. Step 5: Solve for x
    x = 154,718.39/322.52
  6. Step 6: Final answer
    x = 479.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.