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Finding the Fourth Proportional to 287.92, 431.98 and 105.37

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Solution

The fourth proportional to 287.92, 431.98 and 105.37 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.92 : 431.98 = 105.37 : x
  2. Step 2: Convert to fraction form
    287.92/431.98 = 105.37/x
  3. Step 3: Cross multiply
    287.92x = 431.98 × 105.37
  4. Step 4: Simplify right side
    287.92x = 45,516.98
  5. Step 5: Solve for x
    x = 45,516.98/287.92
  6. Step 6: Final answer
    x = 158.09

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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.