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Finding the Fourth Proportional to 175.72, 262.46 and 151.42

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Solution

The fourth proportional to 175.72, 262.46 and 151.42 is: 226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.72 : 262.46 = 151.42 : x
  2. Step 2: Convert to fraction form
    175.72/262.46 = 151.42/x
  3. Step 3: Cross multiply
    175.72x = 262.46 × 151.42
  4. Step 4: Simplify right side
    175.72x = 39,741.69
  5. Step 5: Solve for x
    x = 39,741.69/175.72
  6. Step 6: Final answer
    x = 226.16

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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.