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Finding the Fourth Proportional to 291.91, 437.09 and 176.20

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Solution

The fourth proportional to 291.91, 437.09 and 176.20 is: 263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.91 : 437.09 = 176.20 : x
  2. Step 2: Convert to fraction form
    291.91/437.09 = 176.20/x
  3. Step 3: Cross multiply
    291.91x = 437.09 × 176.20
  4. Step 4: Simplify right side
    291.91x = 77,015.70
  5. Step 5: Solve for x
    x = 77,015.70/291.91
  6. Step 6: Final answer
    x = 263.83

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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.