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Finding the Fourth Proportional to 287.80, 432.51 and 223

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Solution

The fourth proportional to 287.80, 432.51 and 223 is: 335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.80 : 432.51 = 223 : x
  2. Step 2: Convert to fraction form
    287.80/432.51 = 223/x
  3. Step 3: Cross multiply
    287.80x = 432.51 × 223
  4. Step 4: Simplify right side
    287.80x = 96,449.73
  5. Step 5: Solve for x
    x = 96,449.73/287.80
  6. Step 6: Final answer
    x = 335.13

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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.