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Finding the Fourth Proportional to 296.22, 408.73 and 185.66

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Solution

The fourth proportional to 296.22, 408.73 and 185.66 is: 256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.22 : 408.73 = 185.66 : x
  2. Step 2: Convert to fraction form
    296.22/408.73 = 185.66/x
  3. Step 3: Cross multiply
    296.22x = 408.73 × 185.66
  4. Step 4: Simplify right side
    296.22x = 75,884.81
  5. Step 5: Solve for x
    x = 75,884.81/296.22
  6. Step 6: Final answer
    x = 256.18

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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.