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Finding the Fourth Proportional to 378.27, 567 and 275.00

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Solution

The fourth proportional to 378.27, 567 and 275.00 is: 412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.27 : 567 = 275.00 : x
  2. Step 2: Convert to fraction form
    378.27/567 = 275.00/x
  3. Step 3: Cross multiply
    378.27x = 567 × 275.00
  4. Step 4: Simplify right side
    378.27x = 155,922.17
  5. Step 5: Solve for x
    x = 155,922.17/378.27
  6. Step 6: Final answer
    x = 412.20

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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.