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Finding the Fourth Proportional to 175.98, 262.61 and 157.75

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Solution

The fourth proportional to 175.98, 262.61 and 157.75 is: 235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.98 : 262.61 = 157.75 : x
  2. Step 2: Convert to fraction form
    175.98/262.61 = 157.75/x
  3. Step 3: Cross multiply
    175.98x = 262.61 × 157.75
  4. Step 4: Simplify right side
    175.98x = 41,426.73
  5. Step 5: Solve for x
    x = 41,426.73/175.98
  6. Step 6: Final answer
    x = 235.41

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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.