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Finding the Fourth Proportional to 174.38, 262.88 and 150.20

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Solution

The fourth proportional to 174.38, 262.88 and 150.20 is: 226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.38 : 262.88 = 150.20 : x
  2. Step 2: Convert to fraction form
    174.38/262.88 = 150.20/x
  3. Step 3: Cross multiply
    174.38x = 262.88 × 150.20
  4. Step 4: Simplify right side
    174.38x = 39,482.51
  5. Step 5: Solve for x
    x = 39,482.51/174.38
  6. Step 6: Final answer
    x = 226.42

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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.