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Finding the Fourth Proportional to 318.91, 475.74 and 296.82

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Solution

The fourth proportional to 318.91, 475.74 and 296.82 is: 442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.91 : 475.74 = 296.82 : x
  2. Step 2: Convert to fraction form
    318.91/475.74 = 296.82/x
  3. Step 3: Cross multiply
    318.91x = 475.74 × 296.82
  4. Step 4: Simplify right side
    318.91x = 141,209.15
  5. Step 5: Solve for x
    x = 141,209.15/318.91
  6. Step 6: Final answer
    x = 442.79

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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.