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Finding the Fourth Proportional to 378.90, 522.50 and 252.66

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Solution

The fourth proportional to 378.90, 522.50 and 252.66 is: 348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.90 : 522.50 = 252.66 : x
  2. Step 2: Convert to fraction form
    378.90/522.50 = 252.66/x
  3. Step 3: Cross multiply
    378.90x = 522.50 × 252.66
  4. Step 4: Simplify right side
    378.90x = 132,014.85
  5. Step 5: Solve for x
    x = 132,014.85/378.90
  6. Step 6: Final answer
    x = 348.42

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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.