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Finding the Fourth Proportional to 361.42, 542.18 and 130.30

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Solution

The fourth proportional to 361.42, 542.18 and 130.30 is: 195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.42 : 542.18 = 130.30 : x
  2. Step 2: Convert to fraction form
    361.42/542.18 = 130.30/x
  3. Step 3: Cross multiply
    361.42x = 542.18 × 130.30
  4. Step 4: Simplify right side
    361.42x = 70,646.05
  5. Step 5: Solve for x
    x = 70,646.05/361.42
  6. Step 6: Final answer
    x = 195.47

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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.