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Finding the Fourth Proportional to 317.75, 438.45 and 224.78

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Solution

The fourth proportional to 317.75, 438.45 and 224.78 is: 310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.75 : 438.45 = 224.78 : x
  2. Step 2: Convert to fraction form
    317.75/438.45 = 224.78/x
  3. Step 3: Cross multiply
    317.75x = 438.45 × 224.78
  4. Step 4: Simplify right side
    317.75x = 98,554.79
  5. Step 5: Solve for x
    x = 98,554.79/317.75
  6. Step 6: Final answer
    x = 310.16

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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.