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Finding the Fourth Proportional to 242.55, 361.96 and 216.60

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Solution

The fourth proportional to 242.55, 361.96 and 216.60 is: 323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.55 : 361.96 = 216.60 : x
  2. Step 2: Convert to fraction form
    242.55/361.96 = 216.60/x
  3. Step 3: Cross multiply
    242.55x = 361.96 × 216.60
  4. Step 4: Simplify right side
    242.55x = 78,398.98
  5. Step 5: Solve for x
    x = 78,398.98/242.55
  6. Step 6: Final answer
    x = 323.23

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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.