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Finding the Fourth Proportional to 318.24, 473.60 and 308.11

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Solution

The fourth proportional to 318.24, 473.60 and 308.11 is: 458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.24 : 473.60 = 308.11 : x
  2. Step 2: Convert to fraction form
    318.24/473.60 = 308.11/x
  3. Step 3: Cross multiply
    318.24x = 473.60 × 308.11
  4. Step 4: Simplify right side
    318.24x = 145,920.90
  5. Step 5: Solve for x
    x = 145,920.90/318.24
  6. Step 6: Final answer
    x = 458.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.