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Finding the Fourth Proportional to 287.28, 431 and 104.73

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Solution

The fourth proportional to 287.28, 431 and 104.73 is: 157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.28 : 431 = 104.73 : x
  2. Step 2: Convert to fraction form
    287.28/431 = 104.73/x
  3. Step 3: Cross multiply
    287.28x = 431 × 104.73
  4. Step 4: Simplify right side
    287.28x = 45,138.63
  5. Step 5: Solve for x
    x = 45,138.63/287.28
  6. Step 6: Final answer
    x = 157.12

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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.