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Finding the Fourth Proportional to 872.95, 1,309.40 and 223.67

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Solution

The fourth proportional to 872.95, 1,309.40 and 223.67 is: 335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.95 : 1,309.40 = 223.67 : x
  2. Step 2: Convert to fraction form
    872.95/1,309.40 = 223.67/x
  3. Step 3: Cross multiply
    872.95x = 1,309.40 × 223.67
  4. Step 4: Simplify right side
    872.95x = 292,872.38
  5. Step 5: Solve for x
    x = 292,872.38/872.95
  6. Step 6: Final answer
    x = 335.50

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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.