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Finding the Fourth Proportional to 252.90, 348.78 and 183.42

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Solution

The fourth proportional to 252.90, 348.78 and 183.42 is: 252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.90 : 348.78 = 183.42 : x
  2. Step 2: Convert to fraction form
    252.90/348.78 = 183.42/x
  3. Step 3: Cross multiply
    252.90x = 348.78 × 183.42
  4. Step 4: Simplify right side
    252.90x = 63,973.23
  5. Step 5: Solve for x
    x = 63,973.23/252.90
  6. Step 6: Final answer
    x = 252.96

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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.