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Finding the Fourth Proportional to 287.48, 431.19 and 104.83

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Solution

The fourth proportional to 287.48, 431.19 and 104.83 is: 157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.48 : 431.19 = 104.83 : x
  2. Step 2: Convert to fraction form
    287.48/431.19 = 104.83/x
  3. Step 3: Cross multiply
    287.48x = 431.19 × 104.83
  4. Step 4: Simplify right side
    287.48x = 45,200.57
  5. Step 5: Solve for x
    x = 45,200.57/287.48
  6. Step 6: Final answer
    x = 157.23

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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.