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Finding the Fourth Proportional to 174.58, 262.83 and 144.61

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Solution

The fourth proportional to 174.58, 262.83 and 144.61 is: 217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.58 : 262.83 = 144.61 : x
  2. Step 2: Convert to fraction form
    174.58/262.83 = 144.61/x
  3. Step 3: Cross multiply
    174.58x = 262.83 × 144.61
  4. Step 4: Simplify right side
    174.58x = 38,005.81
  5. Step 5: Solve for x
    x = 38,005.81/174.58
  6. Step 6: Final answer
    x = 217.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.