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Finding the Fourth Proportional to 322.38, 486.32 and 315.18

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Solution

The fourth proportional to 322.38, 486.32 and 315.18 is: 475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 486.32 = 315.18 : x
  2. Step 2: Convert to fraction form
    322.38/486.32 = 315.18/x
  3. Step 3: Cross multiply
    322.38x = 486.32 × 315.18
  4. Step 4: Simplify right side
    322.38x = 153,276.76
  5. Step 5: Solve for x
    x = 153,276.76/322.38
  6. Step 6: Final answer
    x = 475.45

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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.