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Finding the Fourth Proportional to 243.97, 336.73 and 145.78

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Solution

The fourth proportional to 243.97, 336.73 and 145.78 is: 201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.97 : 336.73 = 145.78 : x
  2. Step 2: Convert to fraction form
    243.97/336.73 = 145.78/x
  3. Step 3: Cross multiply
    243.97x = 336.73 × 145.78
  4. Step 4: Simplify right side
    243.97x = 49,088.50
  5. Step 5: Solve for x
    x = 49,088.50/243.97
  6. Step 6: Final answer
    x = 201.21

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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.