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Finding the Fourth Proportional to 242.10, 361.28 and 234.21

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Solution

The fourth proportional to 242.10, 361.28 and 234.21 is: 349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.10 : 361.28 = 234.21 : x
  2. Step 2: Convert to fraction form
    242.10/361.28 = 234.21/x
  3. Step 3: Cross multiply
    242.10x = 361.28 × 234.21
  4. Step 4: Simplify right side
    242.10x = 84,615.39
  5. Step 5: Solve for x
    x = 84,615.39/242.10
  6. Step 6: Final answer
    x = 349.51

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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.