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Finding the Fourth Proportional to 361.55, 542.29 and 105.05

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Solution

The fourth proportional to 361.55, 542.29 and 105.05 is: 157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.55 : 542.29 = 105.05 : x
  2. Step 2: Convert to fraction form
    361.55/542.29 = 105.05/x
  3. Step 3: Cross multiply
    361.55x = 542.29 × 105.05
  4. Step 4: Simplify right side
    361.55x = 56,967.56
  5. Step 5: Solve for x
    x = 56,967.56/361.55
  6. Step 6: Final answer
    x = 157.56

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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.