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Finding the Fourth Proportional to 387.26, 534.49 and 270.75

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Solution

The fourth proportional to 387.26, 534.49 and 270.75 is: 373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.26 : 534.49 = 270.75 : x
  2. Step 2: Convert to fraction form
    387.26/534.49 = 270.75/x
  3. Step 3: Cross multiply
    387.26x = 534.49 × 270.75
  4. Step 4: Simplify right side
    387.26x = 144,713.17
  5. Step 5: Solve for x
    x = 144,713.17/387.26
  6. Step 6: Final answer
    x = 373.68

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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.