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Finding the Fourth Proportional to 242.12, 361.28 and 218.90

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Solution

The fourth proportional to 242.12, 361.28 and 218.90 is: 326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.12 : 361.28 = 218.90 : x
  2. Step 2: Convert to fraction form
    242.12/361.28 = 218.90/x
  3. Step 3: Cross multiply
    242.12x = 361.28 × 218.90
  4. Step 4: Simplify right side
    242.12x = 79,084.19
  5. Step 5: Solve for x
    x = 79,084.19/242.12
  6. Step 6: Final answer
    x = 326.63

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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.