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Finding the Fourth Proportional to 393.16, 543.02 and 261.94

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Solution

The fourth proportional to 393.16, 543.02 and 261.94 is: 361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.16 : 543.02 = 261.94 : x
  2. Step 2: Convert to fraction form
    393.16/543.02 = 261.94/x
  3. Step 3: Cross multiply
    393.16x = 543.02 × 261.94
  4. Step 4: Simplify right side
    393.16x = 142,238.66
  5. Step 5: Solve for x
    x = 142,238.66/393.16
  6. Step 6: Final answer
    x = 361.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.