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Finding the Fourth Proportional to 291.45, 402.20 and 180.94

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Solution

The fourth proportional to 291.45, 402.20 and 180.94 is: 249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.45 : 402.20 = 180.94 : x
  2. Step 2: Convert to fraction form
    291.45/402.20 = 180.94/x
  3. Step 3: Cross multiply
    291.45x = 402.20 × 180.94
  4. Step 4: Simplify right side
    291.45x = 72,774.07
  5. Step 5: Solve for x
    x = 72,774.07/291.45
  6. Step 6: Final answer
    x = 249.70

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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.