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Finding the Fourth Proportional to 149.46, 223.94 and 51.91

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Solution

The fourth proportional to 149.46, 223.94 and 51.91 is: 77.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.46 : 223.94 = 51.91 : x
  2. Step 2: Convert to fraction form
    149.46/223.94 = 51.91/x
  3. Step 3: Cross multiply
    149.46x = 223.94 × 51.91
  4. Step 4: Simplify right side
    149.46x = 11,624.51
  5. Step 5: Solve for x
    x = 11,624.51/149.46
  6. Step 6: Final answer
    x = 77.78

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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.