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Finding the Fourth Proportional to 252.55, 380.72 and 235.83

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Solution

The fourth proportional to 252.55, 380.72 and 235.83 is: 355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.55 : 380.72 = 235.83 : x
  2. Step 2: Convert to fraction form
    252.55/380.72 = 235.83/x
  3. Step 3: Cross multiply
    252.55x = 380.72 × 235.83
  4. Step 4: Simplify right side
    252.55x = 89,785.20
  5. Step 5: Solve for x
    x = 89,785.20/252.55
  6. Step 6: Final answer
    x = 355.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.