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Finding the Fourth Proportional to 318.72, 478.20 and 156.48

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Solution

The fourth proportional to 318.72, 478.20 and 156.48 is: 234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.72 : 478.20 = 156.48 : x
  2. Step 2: Convert to fraction form
    318.72/478.20 = 156.48/x
  3. Step 3: Cross multiply
    318.72x = 478.20 × 156.48
  4. Step 4: Simplify right side
    318.72x = 74,828.74
  5. Step 5: Solve for x
    x = 74,828.74/318.72
  6. Step 6: Final answer
    x = 234.78

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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.