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Finding the Fourth Proportional to 892.82, 1,339.08 and 243.41

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Solution

The fourth proportional to 892.82, 1,339.08 and 243.41 is: 365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.82 : 1,339.08 = 243.41 : x
  2. Step 2: Convert to fraction form
    892.82/1,339.08 = 243.41/x
  3. Step 3: Cross multiply
    892.82x = 1,339.08 × 243.41
  4. Step 4: Simplify right side
    892.82x = 325,945.46
  5. Step 5: Solve for x
    x = 325,945.46/892.82
  6. Step 6: Final answer
    x = 365.07

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1.5x scale

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.