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Finding the Fourth Proportional to 361.16, 541.59 and 138.76

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Solution

The fourth proportional to 361.16, 541.59 and 138.76 is: 208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.16 : 541.59 = 138.76 : x
  2. Step 2: Convert to fraction form
    361.16/541.59 = 138.76/x
  3. Step 3: Cross multiply
    361.16x = 541.59 × 138.76
  4. Step 4: Simplify right side
    361.16x = 75,151.38
  5. Step 5: Solve for x
    x = 75,151.38/361.16
  6. Step 6: Final answer
    x = 208.08

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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.