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Finding the Fourth Proportional to 229.68, 317.19 and 159.91

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Solution

The fourth proportional to 229.68, 317.19 and 159.91 is: 220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.68 : 317.19 = 159.91 : x
  2. Step 2: Convert to fraction form
    229.68/317.19 = 159.91/x
  3. Step 3: Cross multiply
    229.68x = 317.19 × 159.91
  4. Step 4: Simplify right side
    229.68x = 50,721.85
  5. Step 5: Solve for x
    x = 50,721.85/229.68
  6. Step 6: Final answer
    x = 220.84

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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.