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Finding the Fourth Proportional to 174.41, 260.38 and 147.07

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Solution

The fourth proportional to 174.41, 260.38 and 147.07 is: 219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.41 : 260.38 = 147.07 : x
  2. Step 2: Convert to fraction form
    174.41/260.38 = 147.07/x
  3. Step 3: Cross multiply
    174.41x = 260.38 × 147.07
  4. Step 4: Simplify right side
    174.41x = 38,293.35
  5. Step 5: Solve for x
    x = 38,293.35/174.41
  6. Step 6: Final answer
    x = 219.56

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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.