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Finding the Fourth Proportional to 318.09, 474.23 and 310.11

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Solution

The fourth proportional to 318.09, 474.23 and 310.11 is: 462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.09 : 474.23 = 310.11 : x
  2. Step 2: Convert to fraction form
    318.09/474.23 = 310.11/x
  3. Step 3: Cross multiply
    318.09x = 474.23 × 310.11
  4. Step 4: Simplify right side
    318.09x = 147,063.47
  5. Step 5: Solve for x
    x = 147,063.47/318.09
  6. Step 6: Final answer
    x = 462.33

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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.