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Finding the Fourth Proportional to 282.55, 387.81 and 250.76

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Solution

The fourth proportional to 282.55, 387.81 and 250.76 is: 344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.55 : 387.81 = 250.76 : x
  2. Step 2: Convert to fraction form
    282.55/387.81 = 250.76/x
  3. Step 3: Cross multiply
    282.55x = 387.81 × 250.76
  4. Step 4: Simplify right side
    282.55x = 97,247.24
  5. Step 5: Solve for x
    x = 97,247.24/282.55
  6. Step 6: Final answer
    x = 344.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.