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Finding the Fourth Proportional to 378.29, 565.98 and 275.61

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Solution

The fourth proportional to 378.29, 565.98 and 275.61 is: 412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.29 : 565.98 = 275.61 : x
  2. Step 2: Convert to fraction form
    378.29/565.98 = 275.61/x
  3. Step 3: Cross multiply
    378.29x = 565.98 × 275.61
  4. Step 4: Simplify right side
    378.29x = 155,986.92
  5. Step 5: Solve for x
    x = 155,986.92/378.29
  6. Step 6: Final answer
    x = 412.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.