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Finding the Fourth Proportional to 242.96, 361.94 and 230.48

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Solution

The fourth proportional to 242.96, 361.94 and 230.48 is: 343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.96 : 361.94 = 230.48 : x
  2. Step 2: Convert to fraction form
    242.96/361.94 = 230.48/x
  3. Step 3: Cross multiply
    242.96x = 361.94 × 230.48
  4. Step 4: Simplify right side
    242.96x = 83,419.93
  5. Step 5: Solve for x
    x = 83,419.93/242.96
  6. Step 6: Final answer
    x = 343.35

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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.