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Finding the Fourth Proportional to 252.34, 348.52 and 202.04

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Solution

The fourth proportional to 252.34, 348.52 and 202.04 is: 279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.34 : 348.52 = 202.04 : x
  2. Step 2: Convert to fraction form
    252.34/348.52 = 202.04/x
  3. Step 3: Cross multiply
    252.34x = 348.52 × 202.04
  4. Step 4: Simplify right side
    252.34x = 70,414.98
  5. Step 5: Solve for x
    x = 70,414.98/252.34
  6. Step 6: Final answer
    x = 279.05

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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.