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Finding the Fourth Proportional to 243.74, 336.16 and 169.99

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Solution

The fourth proportional to 243.74, 336.16 and 169.99 is: 234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.74 : 336.16 = 169.99 : x
  2. Step 2: Convert to fraction form
    243.74/336.16 = 169.99/x
  3. Step 3: Cross multiply
    243.74x = 336.16 × 169.99
  4. Step 4: Simplify right side
    243.74x = 57,143.84
  5. Step 5: Solve for x
    x = 57,143.84/243.74
  6. Step 6: Final answer
    x = 234.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.