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Finding the Fourth Proportional to 318.84, 478.86 and 237.43

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Solution

The fourth proportional to 318.84, 478.86 and 237.43 is: 356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.84 : 478.86 = 237.43 : x
  2. Step 2: Convert to fraction form
    318.84/478.86 = 237.43/x
  3. Step 3: Cross multiply
    318.84x = 478.86 × 237.43
  4. Step 4: Simplify right side
    318.84x = 113,695.73
  5. Step 5: Solve for x
    x = 113,695.73/318.84
  6. Step 6: Final answer
    x = 356.59

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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.