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Finding the Fourth Proportional to 286.32, 431.28 and 282.54

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Solution

The fourth proportional to 286.32, 431.28 and 282.54 is: 425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.32 : 431.28 = 282.54 : x
  2. Step 2: Convert to fraction form
    286.32/431.28 = 282.54/x
  3. Step 3: Cross multiply
    286.32x = 431.28 × 282.54
  4. Step 4: Simplify right side
    286.32x = 121,853.85
  5. Step 5: Solve for x
    x = 121,853.85/286.32
  6. Step 6: Final answer
    x = 425.59

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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.