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Finding the Fourth Proportional to 318.72, 440.04 and 252.96

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Solution

The fourth proportional to 318.72, 440.04 and 252.96 is: 349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.72 : 440.04 = 252.96 : x
  2. Step 2: Convert to fraction form
    318.72/440.04 = 252.96/x
  3. Step 3: Cross multiply
    318.72x = 440.04 × 252.96
  4. Step 4: Simplify right side
    318.72x = 111,312.52
  5. Step 5: Solve for x
    x = 111,312.52/318.72
  6. Step 6: Final answer
    x = 349.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.