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Finding the Fourth Proportional to 296.45, 444.50 and 123.11

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Solution

The fourth proportional to 296.45, 444.50 and 123.11 is: 184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.45 : 444.50 = 123.11 : x
  2. Step 2: Convert to fraction form
    296.45/444.50 = 123.11/x
  3. Step 3: Cross multiply
    296.45x = 444.50 × 123.11
  4. Step 4: Simplify right side
    296.45x = 54,721.78
  5. Step 5: Solve for x
    x = 54,721.78/296.45
  6. Step 6: Final answer
    x = 184.59

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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.