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Finding the Fourth Proportional to 296.88, 409.89 and 180.64

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Solution

The fourth proportional to 296.88, 409.89 and 180.64 is: 249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.88 : 409.89 = 180.64 : x
  2. Step 2: Convert to fraction form
    296.88/409.89 = 180.64/x
  3. Step 3: Cross multiply
    296.88x = 409.89 × 180.64
  4. Step 4: Simplify right side
    296.88x = 74,042.53
  5. Step 5: Solve for x
    x = 74,042.53/296.88
  6. Step 6: Final answer
    x = 249.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.