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Finding the Fourth Proportional to 361, 541.74 and 133

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Solution

The fourth proportional to 361, 541.74 and 133 is: 199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361 : 541.74 = 133 : x
  2. Step 2: Convert to fraction form
    361/541.74 = 133/x
  3. Step 3: Cross multiply
    361x = 541.74 × 133
  4. Step 4: Simplify right side
    361x = 72,051.42
  5. Step 5: Solve for x
    x = 72,051.42/361
  6. Step 6: Final answer
    x = 199.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.