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Finding the Fourth Proportional to 174.82, 260.74 and 149.30

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Solution

The fourth proportional to 174.82, 260.74 and 149.30 is: 222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.82 : 260.74 = 149.30 : x
  2. Step 2: Convert to fraction form
    174.82/260.74 = 149.30/x
  3. Step 3: Cross multiply
    174.82x = 260.74 × 149.30
  4. Step 4: Simplify right side
    174.82x = 38,928.48
  5. Step 5: Solve for x
    x = 38,928.48/174.82
  6. Step 6: Final answer
    x = 222.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.