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Finding the Fourth Proportional to 242.19, 361.26 and 216.27

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Solution

The fourth proportional to 242.19, 361.26 and 216.27 is: 322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.19 : 361.26 = 216.27 : x
  2. Step 2: Convert to fraction form
    242.19/361.26 = 216.27/x
  3. Step 3: Cross multiply
    242.19x = 361.26 × 216.27
  4. Step 4: Simplify right side
    242.19x = 78,129.70
  5. Step 5: Solve for x
    x = 78,129.70/242.19
  6. Step 6: Final answer
    x = 322.60

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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.