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Finding the Fourth Proportional to 296.50, 444.26 and 180.59

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Solution

The fourth proportional to 296.50, 444.26 and 180.59 is: 270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.50 : 444.26 = 180.59 : x
  2. Step 2: Convert to fraction form
    296.50/444.26 = 180.59/x
  3. Step 3: Cross multiply
    296.50x = 444.26 × 180.59
  4. Step 4: Simplify right side
    296.50x = 80,228.91
  5. Step 5: Solve for x
    x = 80,228.91/296.50
  6. Step 6: Final answer
    x = 270.59

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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.