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Finding the Fourth Proportional to 175.72, 262.88 and 157.48

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Solution

The fourth proportional to 175.72, 262.88 and 157.48 is: 235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.72 : 262.88 = 157.48 : x
  2. Step 2: Convert to fraction form
    175.72/262.88 = 157.48/x
  3. Step 3: Cross multiply
    175.72x = 262.88 × 157.48
  4. Step 4: Simplify right side
    175.72x = 41,398.34
  5. Step 5: Solve for x
    x = 41,398.34/175.72
  6. Step 6: Final answer
    x = 235.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.