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Finding the Fourth Proportional to 868.74, 1,302.92 and 235.50

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Solution

The fourth proportional to 868.74, 1,302.92 and 235.50 is: 353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.74 : 1,302.92 = 235.50 : x
  2. Step 2: Convert to fraction form
    868.74/1,302.92 = 235.50/x
  3. Step 3: Cross multiply
    868.74x = 1,302.92 × 235.50
  4. Step 4: Simplify right side
    868.74x = 306,837.66
  5. Step 5: Solve for x
    x = 306,837.66/868.74
  6. Step 6: Final answer
    x = 353.20

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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.