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Finding the Fourth Proportional to 269.71, 370.40 and 250.67

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Solution

The fourth proportional to 269.71, 370.40 and 250.67 is: 344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.71 : 370.40 = 250.67 : x
  2. Step 2: Convert to fraction form
    269.71/370.40 = 250.67/x
  3. Step 3: Cross multiply
    269.71x = 370.40 × 250.67
  4. Step 4: Simplify right side
    269.71x = 92,847.84
  5. Step 5: Solve for x
    x = 92,847.84/269.71
  6. Step 6: Final answer
    x = 344.25

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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.