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Finding the Fourth Proportional to 361.98, 543.04 and 145.72

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Solution

The fourth proportional to 361.98, 543.04 and 145.72 is: 218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.98 : 543.04 = 145.72 : x
  2. Step 2: Convert to fraction form
    361.98/543.04 = 145.72/x
  3. Step 3: Cross multiply
    361.98x = 543.04 × 145.72
  4. Step 4: Simplify right side
    361.98x = 79,131.79
  5. Step 5: Solve for x
    x = 79,131.79/361.98
  6. Step 6: Final answer
    x = 218.61

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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.