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Finding the Fourth Proportional to 310.76, 428.72 and 194.24

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Solution

The fourth proportional to 310.76, 428.72 and 194.24 is: 267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.76 : 428.72 = 194.24 : x
  2. Step 2: Convert to fraction form
    310.76/428.72 = 194.24/x
  3. Step 3: Cross multiply
    310.76x = 428.72 × 194.24
  4. Step 4: Simplify right side
    310.76x = 83,274.57
  5. Step 5: Solve for x
    x = 83,274.57/310.76
  6. Step 6: Final answer
    x = 267.97

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Find fourth proportional to 155.38, 214.36 and 97.12
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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.