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Finding the Fourth Proportional to 318.12, 474.35 and 296.20

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Solution

The fourth proportional to 318.12, 474.35 and 296.20 is: 441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.12 : 474.35 = 296.20 : x
  2. Step 2: Convert to fraction form
    318.12/474.35 = 296.20/x
  3. Step 3: Cross multiply
    318.12x = 474.35 × 296.20
  4. Step 4: Simplify right side
    318.12x = 140,502.47
  5. Step 5: Solve for x
    x = 140,502.47/318.12
  6. Step 6: Final answer
    x = 441.67

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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.