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Finding the Fourth Proportional to 174.40, 260.39 and 157.12

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Solution

The fourth proportional to 174.40, 260.39 and 157.12 is: 234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.40 : 260.39 = 157.12 : x
  2. Step 2: Convert to fraction form
    174.40/260.39 = 157.12/x
  3. Step 3: Cross multiply
    174.40x = 260.39 × 157.12
  4. Step 4: Simplify right side
    174.40x = 40,911.69
  5. Step 5: Solve for x
    x = 40,911.69/174.40
  6. Step 6: Final answer
    x = 234.59

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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.