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Finding the Fourth Proportional to 318.20, 474.49 and 306.92

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Solution

The fourth proportional to 318.20, 474.49 and 306.92 is: 457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.20 : 474.49 = 306.92 : x
  2. Step 2: Convert to fraction form
    318.20/474.49 = 306.92/x
  3. Step 3: Cross multiply
    318.20x = 474.49 × 306.92
  4. Step 4: Simplify right side
    318.20x = 145,630.47
  5. Step 5: Solve for x
    x = 145,630.47/318.20
  6. Step 6: Final answer
    x = 457.67

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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.