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Finding the Fourth Proportional to 296.80, 444.84 and 180.88

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Solution

The fourth proportional to 296.80, 444.84 and 180.88 is: 271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.80 : 444.84 = 180.88 : x
  2. Step 2: Convert to fraction form
    296.80/444.84 = 180.88/x
  3. Step 3: Cross multiply
    296.80x = 444.84 × 180.88
  4. Step 4: Simplify right side
    296.80x = 80,462.66
  5. Step 5: Solve for x
    x = 80,462.66/296.80
  6. Step 6: Final answer
    x = 271.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.