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Finding the Fourth Proportional to 253.76, 352.10 and 251.24

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Solution

The fourth proportional to 253.76, 352.10 and 251.24 is: 348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.76 : 352.10 = 251.24 : x
  2. Step 2: Convert to fraction form
    253.76/352.10 = 251.24/x
  3. Step 3: Cross multiply
    253.76x = 352.10 × 251.24
  4. Step 4: Simplify right side
    253.76x = 88,461.60
  5. Step 5: Solve for x
    x = 88,461.60/253.76
  6. Step 6: Final answer
    x = 348.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.