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Finding the Fourth Proportional to 316.75, 474.82 and 294.88

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Solution

The fourth proportional to 316.75, 474.82 and 294.88 is: 442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.75 : 474.82 = 294.88 : x
  2. Step 2: Convert to fraction form
    316.75/474.82 = 294.88/x
  3. Step 3: Cross multiply
    316.75x = 474.82 × 294.88
  4. Step 4: Simplify right side
    316.75x = 140,014.92
  5. Step 5: Solve for x
    x = 140,014.92/316.75
  6. Step 6: Final answer
    x = 442.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.