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Finding the Fourth Proportional to 229.42, 316.53 and 151.78

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Solution

The fourth proportional to 229.42, 316.53 and 151.78 is: 209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.42 : 316.53 = 151.78 : x
  2. Step 2: Convert to fraction form
    229.42/316.53 = 151.78/x
  3. Step 3: Cross multiply
    229.42x = 316.53 × 151.78
  4. Step 4: Simplify right side
    229.42x = 48,042.92
  5. Step 5: Solve for x
    x = 48,042.92/229.42
  6. Step 6: Final answer
    x = 209.41

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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.