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Finding the Fourth Proportional to 378.24, 521.80 and 252.35

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Solution

The fourth proportional to 378.24, 521.80 and 252.35 is: 348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 521.80 = 252.35 : x
  2. Step 2: Convert to fraction form
    378.24/521.80 = 252.35/x
  3. Step 3: Cross multiply
    378.24x = 521.80 × 252.35
  4. Step 4: Simplify right side
    378.24x = 131,676.23
  5. Step 5: Solve for x
    x = 131,676.23/378.24
  6. Step 6: Final answer
    x = 348.13

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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.