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Finding the Fourth Proportional to 296.44, 447.35 and 286.52

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Solution

The fourth proportional to 296.44, 447.35 and 286.52 is: 432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.44 : 447.35 = 286.52 : x
  2. Step 2: Convert to fraction form
    296.44/447.35 = 286.52/x
  3. Step 3: Cross multiply
    296.44x = 447.35 × 286.52
  4. Step 4: Simplify right side
    296.44x = 128,174.72
  5. Step 5: Solve for x
    x = 128,174.72/296.44
  6. Step 6: Final answer
    x = 432.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.