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Finding the Fourth Proportional to 867.34, 1,300.80 and 250.90

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Solution

The fourth proportional to 867.34, 1,300.80 and 250.90 is: 376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.34 : 1,300.80 = 250.90 : x
  2. Step 2: Convert to fraction form
    867.34/1,300.80 = 250.90/x
  3. Step 3: Cross multiply
    867.34x = 1,300.80 × 250.90
  4. Step 4: Simplify right side
    867.34x = 326,370.72
  5. Step 5: Solve for x
    x = 326,370.72/867.34
  6. Step 6: Final answer
    x = 376.29

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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.