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Finding the Fourth Proportional to 287.56, 431.04 and 179.44

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Solution

The fourth proportional to 287.56, 431.04 and 179.44 is: 268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.56 : 431.04 = 179.44 : x
  2. Step 2: Convert to fraction form
    287.56/431.04 = 179.44/x
  3. Step 3: Cross multiply
    287.56x = 431.04 × 179.44
  4. Step 4: Simplify right side
    287.56x = 77,345.82
  5. Step 5: Solve for x
    x = 77,345.82/287.56
  6. Step 6: Final answer
    x = 268.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.