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Finding the Fourth Proportional to 243.15, 361.81 and 242.34

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Solution

The fourth proportional to 243.15, 361.81 and 242.34 is: 360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.15 : 361.81 = 242.34 : x
  2. Step 2: Convert to fraction form
    243.15/361.81 = 242.34/x
  3. Step 3: Cross multiply
    243.15x = 361.81 × 242.34
  4. Step 4: Simplify right side
    243.15x = 87,679.82
  5. Step 5: Solve for x
    x = 87,679.82/243.15
  6. Step 6: Final answer
    x = 360.60

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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.