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Finding the Fourth Proportional to 291.76, 437.22 and 169.72

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Solution

The fourth proportional to 291.76, 437.22 and 169.72 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.76 : 437.22 = 169.72 : x
  2. Step 2: Convert to fraction form
    291.76/437.22 = 169.72/x
  3. Step 3: Cross multiply
    291.76x = 437.22 × 169.72
  4. Step 4: Simplify right side
    291.76x = 74,204.98
  5. Step 5: Solve for x
    x = 74,204.98/291.76
  6. Step 6: Final answer
    x = 254.34

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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.