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Finding the Fourth Proportional to 243.57, 331.63 and 242.80

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Solution

The fourth proportional to 243.57, 331.63 and 242.80 is: 330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.57 : 331.63 = 242.80 : x
  2. Step 2: Convert to fraction form
    243.57/331.63 = 242.80/x
  3. Step 3: Cross multiply
    243.57x = 331.63 × 242.80
  4. Step 4: Simplify right side
    243.57x = 80,518.33
  5. Step 5: Solve for x
    x = 80,518.33/243.57
  6. Step 6: Final answer
    x = 330.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.