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Finding the Fourth Proportional to 317.27, 438.39 and 229.79

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Solution

The fourth proportional to 317.27, 438.39 and 229.79 is: 317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.27 : 438.39 = 229.79 : x
  2. Step 2: Convert to fraction form
    317.27/438.39 = 229.79/x
  3. Step 3: Cross multiply
    317.27x = 438.39 × 229.79
  4. Step 4: Simplify right side
    317.27x = 100,737.64
  5. Step 5: Solve for x
    x = 100,737.64/317.27
  6. Step 6: Final answer
    x = 317.51

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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.