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Finding the Fourth Proportional to 144.24, 215.83 and 86.50

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Solution

The fourth proportional to 144.24, 215.83 and 86.50 is: 129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.24 : 215.83 = 86.50 : x
  2. Step 2: Convert to fraction form
    144.24/215.83 = 86.50/x
  3. Step 3: Cross multiply
    144.24x = 215.83 × 86.50
  4. Step 4: Simplify right side
    144.24x = 18,668.54
  5. Step 5: Solve for x
    x = 18,668.54/144.24
  6. Step 6: Final answer
    x = 129.43

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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.