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Finding the Fourth Proportional to 243.71, 364.16 and 166.03

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Solution

The fourth proportional to 243.71, 364.16 and 166.03 is: 248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.71 : 364.16 = 166.03 : x
  2. Step 2: Convert to fraction form
    243.71/364.16 = 166.03/x
  3. Step 3: Cross multiply
    243.71x = 364.16 × 166.03
  4. Step 4: Simplify right side
    243.71x = 60,460.99
  5. Step 5: Solve for x
    x = 60,460.99/243.71
  6. Step 6: Final answer
    x = 248.09

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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.