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Finding the Fourth Proportional to 296.44, 408.90 and 247.54

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Solution

The fourth proportional to 296.44, 408.90 and 247.54 is: 341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.44 : 408.90 = 247.54 : x
  2. Step 2: Convert to fraction form
    296.44/408.90 = 247.54/x
  3. Step 3: Cross multiply
    296.44x = 408.90 × 247.54
  4. Step 4: Simplify right side
    296.44x = 101,219.11
  5. Step 5: Solve for x
    x = 101,219.11/296.44
  6. Step 6: Final answer
    x = 341.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.