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Finding the Fourth Proportional to 242.98, 366.09 and 219.87

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Solution

The fourth proportional to 242.98, 366.09 and 219.87 is: 331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.98 : 366.09 = 219.87 : x
  2. Step 2: Convert to fraction form
    242.98/366.09 = 219.87/x
  3. Step 3: Cross multiply
    242.98x = 366.09 × 219.87
  4. Step 4: Simplify right side
    242.98x = 80,494.41
  5. Step 5: Solve for x
    x = 80,494.41/242.98
  6. Step 6: Final answer
    x = 331.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.