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Finding the Fourth Proportional to 173.55, 261.41 and 157.71

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Solution

The fourth proportional to 173.55, 261.41 and 157.71 is: 237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.55 : 261.41 = 157.71 : x
  2. Step 2: Convert to fraction form
    173.55/261.41 = 157.71/x
  3. Step 3: Cross multiply
    173.55x = 261.41 × 157.71
  4. Step 4: Simplify right side
    173.55x = 41,227.37
  5. Step 5: Solve for x
    x = 41,227.37/173.55
  6. Step 6: Final answer
    x = 237.55

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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.