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Finding the Fourth Proportional to 173.45, 261.71 and 167.87

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Solution

The fourth proportional to 173.45, 261.71 and 167.87 is: 253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.45 : 261.71 = 167.87 : x
  2. Step 2: Convert to fraction form
    173.45/261.71 = 167.87/x
  3. Step 3: Cross multiply
    173.45x = 261.71 × 167.87
  4. Step 4: Simplify right side
    173.45x = 43,933.26
  5. Step 5: Solve for x
    x = 43,933.26/173.45
  6. Step 6: Final answer
    x = 253.29

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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.