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Finding the Fourth Proportional to 291.45, 437.04 and 85.97

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Solution

The fourth proportional to 291.45, 437.04 and 85.97 is: 128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.45 : 437.04 = 85.97 : x
  2. Step 2: Convert to fraction form
    291.45/437.04 = 85.97/x
  3. Step 3: Cross multiply
    291.45x = 437.04 × 85.97
  4. Step 4: Simplify right side
    291.45x = 37,570.14
  5. Step 5: Solve for x
    x = 37,570.14/291.45
  6. Step 6: Final answer
    x = 128.91

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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.