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Finding the Fourth Proportional to 361.98, 543.69 and 297.18

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Solution

The fourth proportional to 361.98, 543.69 and 297.18 is: 446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.98 : 543.69 = 297.18 : x
  2. Step 2: Convert to fraction form
    361.98/543.69 = 297.18/x
  3. Step 3: Cross multiply
    361.98x = 543.69 × 297.18
  4. Step 4: Simplify right side
    361.98x = 161,573.79
  5. Step 5: Solve for x
    x = 161,573.79/361.98
  6. Step 6: Final answer
    x = 446.36

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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.