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Finding the Fourth Proportional to 243.81, 362.93 and 240.17

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Solution

The fourth proportional to 243.81, 362.93 and 240.17 is: 357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.81 : 362.93 = 240.17 : x
  2. Step 2: Convert to fraction form
    243.81/362.93 = 240.17/x
  3. Step 3: Cross multiply
    243.81x = 362.93 × 240.17
  4. Step 4: Simplify right side
    243.81x = 87,163.23
  5. Step 5: Solve for x
    x = 87,163.23/243.81
  6. Step 6: Final answer
    x = 357.50

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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.