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Finding the Fourth Proportional to 242.87, 361.80 and 231.80

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Solution

The fourth proportional to 242.87, 361.80 and 231.80 is: 345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.87 : 361.80 = 231.80 : x
  2. Step 2: Convert to fraction form
    242.87/361.80 = 231.80/x
  3. Step 3: Cross multiply
    242.87x = 361.80 × 231.80
  4. Step 4: Simplify right side
    242.87x = 83,863.43
  5. Step 5: Solve for x
    x = 83,863.43/242.87
  6. Step 6: Final answer
    x = 345.31

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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.