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Finding the Fourth Proportional to 318.15, 438.80 and 224.91

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Solution

The fourth proportional to 318.15, 438.80 and 224.91 is: 310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.15 : 438.80 = 224.91 : x
  2. Step 2: Convert to fraction form
    318.15/438.80 = 224.91/x
  3. Step 3: Cross multiply
    318.15x = 438.80 × 224.91
  4. Step 4: Simplify right side
    318.15x = 98,689.38
  5. Step 5: Solve for x
    x = 98,689.38/318.15
  6. Step 6: Final answer
    x = 310.20

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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.