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Finding the Fourth Proportional to 174.25, 260.15 and 158.11

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Solution

The fourth proportional to 174.25, 260.15 and 158.11 is: 236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.25 : 260.15 = 158.11 : x
  2. Step 2: Convert to fraction form
    174.25/260.15 = 158.11/x
  3. Step 3: Cross multiply
    174.25x = 260.15 × 158.11
  4. Step 4: Simplify right side
    174.25x = 41,130.88
  5. Step 5: Solve for x
    x = 41,130.88/174.25
  6. Step 6: Final answer
    x = 236.04

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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.