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Finding the Fourth Proportional to 229.57, 316.64 and 155.76

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Solution

The fourth proportional to 229.57, 316.64 and 155.76 is: 214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.57 : 316.64 = 155.76 : x
  2. Step 2: Convert to fraction form
    229.57/316.64 = 155.76/x
  3. Step 3: Cross multiply
    229.57x = 316.64 × 155.76
  4. Step 4: Simplify right side
    229.57x = 49,319.05
  5. Step 5: Solve for x
    x = 49,319.05/229.57
  6. Step 6: Final answer
    x = 214.83

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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.