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Finding the Fourth Proportional to 361.14, 537.94 and 356.36

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Solution

The fourth proportional to 361.14, 537.94 and 356.36 is: 530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.14 : 537.94 = 356.36 : x
  2. Step 2: Convert to fraction form
    361.14/537.94 = 356.36/x
  3. Step 3: Cross multiply
    361.14x = 537.94 × 356.36
  4. Step 4: Simplify right side
    361.14x = 191,700.30
  5. Step 5: Solve for x
    x = 191,700.30/361.14
  6. Step 6: Final answer
    x = 530.82

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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.