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Finding the Fourth Proportional to 287.92, 431.78 and 95.50

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Solution

The fourth proportional to 287.92, 431.78 and 95.50 is: 143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.92 : 431.78 = 95.50 : x
  2. Step 2: Convert to fraction form
    287.92/431.78 = 95.50/x
  3. Step 3: Cross multiply
    287.92x = 431.78 × 95.50
  4. Step 4: Simplify right side
    287.92x = 41,234.99
  5. Step 5: Solve for x
    x = 41,234.99/287.92
  6. Step 6: Final answer
    x = 143.22

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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.