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Finding the Fourth Proportional to 174.75, 260.84 and 154.24

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Solution

The fourth proportional to 174.75, 260.84 and 154.24 is: 230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.75 : 260.84 = 154.24 : x
  2. Step 2: Convert to fraction form
    174.75/260.84 = 154.24/x
  3. Step 3: Cross multiply
    174.75x = 260.84 × 154.24
  4. Step 4: Simplify right side
    174.75x = 40,231.96
  5. Step 5: Solve for x
    x = 40,231.96/174.75
  6. Step 6: Final answer
    x = 230.23

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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.