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Finding the Fourth Proportional to 378.90, 523.16 and 268.70

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Solution

The fourth proportional to 378.90, 523.16 and 268.70 is: 370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.90 : 523.16 = 268.70 : x
  2. Step 2: Convert to fraction form
    378.90/523.16 = 268.70/x
  3. Step 3: Cross multiply
    378.90x = 523.16 × 268.70
  4. Step 4: Simplify right side
    378.90x = 140,569.13
  5. Step 5: Solve for x
    x = 140,569.13/378.90
  6. Step 6: Final answer
    x = 370.99

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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.