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Finding the Fourth Proportional to 361.56, 538.12 and 359.54

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Solution

The fourth proportional to 361.56, 538.12 and 359.54 is: 535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.56 : 538.12 = 359.54 : x
  2. Step 2: Convert to fraction form
    361.56/538.12 = 359.54/x
  3. Step 3: Cross multiply
    361.56x = 538.12 × 359.54
  4. Step 4: Simplify right side
    361.56x = 193,475.66
  5. Step 5: Solve for x
    x = 193,475.66/361.56
  6. Step 6: Final answer
    x = 535.11

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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.