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Finding the Fourth Proportional to 287.47, 396.77 and 182.70

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Solution

The fourth proportional to 287.47, 396.77 and 182.70 is: 252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.47 : 396.77 = 182.70 : x
  2. Step 2: Convert to fraction form
    287.47/396.77 = 182.70/x
  3. Step 3: Cross multiply
    287.47x = 396.77 × 182.70
  4. Step 4: Simplify right side
    287.47x = 72,488.97
  5. Step 5: Solve for x
    x = 72,488.97/287.47
  6. Step 6: Final answer
    x = 252.16

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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.