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Finding the Fourth Proportional to 174.65, 262.18 and 138.61

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Solution

The fourth proportional to 174.65, 262.18 and 138.61 is: 208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.65 : 262.18 = 138.61 : x
  2. Step 2: Convert to fraction form
    174.65/262.18 = 138.61/x
  3. Step 3: Cross multiply
    174.65x = 262.18 × 138.61
  4. Step 4: Simplify right side
    174.65x = 36,339.46
  5. Step 5: Solve for x
    x = 36,339.46/174.65
  6. Step 6: Final answer
    x = 208.07

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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.