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Finding the Fourth Proportional to 104.64, 143.17 and 104.24

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Solution

The fourth proportional to 104.64, 143.17 and 104.24 is: 142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.64 : 143.17 = 104.24 : x
  2. Step 2: Convert to fraction form
    104.64/143.17 = 104.24/x
  3. Step 3: Cross multiply
    104.64x = 143.17 × 104.24
  4. Step 4: Simplify right side
    104.64x = 14,923.52
  5. Step 5: Solve for x
    x = 14,923.52/104.64
  6. Step 6: Final answer
    x = 142.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.