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Finding the Fourth Proportional to 318.13, 438.75 and 219.92

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Solution

The fourth proportional to 318.13, 438.75 and 219.92 is: 303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.13 : 438.75 = 219.92 : x
  2. Step 2: Convert to fraction form
    318.13/438.75 = 219.92/x
  3. Step 3: Cross multiply
    318.13x = 438.75 × 219.92
  4. Step 4: Simplify right side
    318.13x = 96,487.71
  5. Step 5: Solve for x
    x = 96,487.71/318.13
  6. Step 6: Final answer
    x = 303.30

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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.