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Finding the Fourth Proportional to 828.14, 1,242.22 and 235.14

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Solution

The fourth proportional to 828.14, 1,242.22 and 235.14 is: 352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.14 : 1,242.22 = 235.14 : x
  2. Step 2: Convert to fraction form
    828.14/1,242.22 = 235.14/x
  3. Step 3: Cross multiply
    828.14x = 1,242.22 × 235.14
  4. Step 4: Simplify right side
    828.14x = 292,095.61
  5. Step 5: Solve for x
    x = 292,095.61/828.14
  6. Step 6: Final answer
    x = 352.71

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.