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Finding the Fourth Proportional to 229.42, 316.20 and 185.68

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Solution

The fourth proportional to 229.42, 316.20 and 185.68 is: 255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.42 : 316.20 = 185.68 : x
  2. Step 2: Convert to fraction form
    229.42/316.20 = 185.68/x
  3. Step 3: Cross multiply
    229.42x = 316.20 × 185.68
  4. Step 4: Simplify right side
    229.42x = 58,712.02
  5. Step 5: Solve for x
    x = 58,712.02/229.42
  6. Step 6: Final answer
    x = 255.91

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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.