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Finding the Fourth Proportional to 317.97, 438.95 and 224.79

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Solution

The fourth proportional to 317.97, 438.95 and 224.79 is: 310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.97 : 438.95 = 224.79 : x
  2. Step 2: Convert to fraction form
    317.97/438.95 = 224.79/x
  3. Step 3: Cross multiply
    317.97x = 438.95 × 224.79
  4. Step 4: Simplify right side
    317.97x = 98,670.45
  5. Step 5: Solve for x
    x = 98,670.45/317.97
  6. Step 6: Final answer
    x = 310.31

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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.