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Finding the Fourth Proportional to 243.41, 362.37 and 242.19

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Solution

The fourth proportional to 243.41, 362.37 and 242.19 is: 360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.41 : 362.37 = 242.19 : x
  2. Step 2: Convert to fraction form
    243.41/362.37 = 242.19/x
  3. Step 3: Cross multiply
    243.41x = 362.37 × 242.19
  4. Step 4: Simplify right side
    243.41x = 87,763.30
  5. Step 5: Solve for x
    x = 87,763.30/243.41
  6. Step 6: Final answer
    x = 360.56

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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.