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Finding the Fourth Proportional to 291.91, 437.86 and 75.49

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Solution

The fourth proportional to 291.91, 437.86 and 75.49 is: 113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.91 : 437.86 = 75.49 : x
  2. Step 2: Convert to fraction form
    291.91/437.86 = 75.49/x
  3. Step 3: Cross multiply
    291.91x = 437.86 × 75.49
  4. Step 4: Simplify right side
    291.91x = 33,054.05
  5. Step 5: Solve for x
    x = 33,054.05/291.91
  6. Step 6: Final answer
    x = 113.23

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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.