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Finding the Fourth Proportional to 242.14, 361.56 and 212.62

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Solution

The fourth proportional to 242.14, 361.56 and 212.62 is: 317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.14 : 361.56 = 212.62 : x
  2. Step 2: Convert to fraction form
    242.14/361.56 = 212.62/x
  3. Step 3: Cross multiply
    242.14x = 361.56 × 212.62
  4. Step 4: Simplify right side
    242.14x = 76,874.89
  5. Step 5: Solve for x
    x = 76,874.89/242.14
  6. Step 6: Final answer
    x = 317.48

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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.