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Finding the Fourth Proportional to 431.99, 648.07 and 123.84

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Solution

The fourth proportional to 431.99, 648.07 and 123.84 is: 185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.99 : 648.07 = 123.84 : x
  2. Step 2: Convert to fraction form
    431.99/648.07 = 123.84/x
  3. Step 3: Cross multiply
    431.99x = 648.07 × 123.84
  4. Step 4: Simplify right side
    431.99x = 80,258.30
  5. Step 5: Solve for x
    x = 80,258.30/431.99
  6. Step 6: Final answer
    x = 185.79

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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.