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Finding the Fourth Proportional to 173.71, 240.97 and 164.49

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Solution

The fourth proportional to 173.71, 240.97 and 164.49 is: 228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.71 : 240.97 = 164.49 : x
  2. Step 2: Convert to fraction form
    173.71/240.97 = 164.49/x
  3. Step 3: Cross multiply
    173.71x = 240.97 × 164.49
  4. Step 4: Simplify right side
    173.71x = 39,637.16
  5. Step 5: Solve for x
    x = 39,637.16/173.71
  6. Step 6: Final answer
    x = 228.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.