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Finding the Fourth Proportional to 361.92, 540.18 and 333.08

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Solution

The fourth proportional to 361.92, 540.18 and 333.08 is: 497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.92 : 540.18 = 333.08 : x
  2. Step 2: Convert to fraction form
    361.92/540.18 = 333.08/x
  3. Step 3: Cross multiply
    361.92x = 540.18 × 333.08
  4. Step 4: Simplify right side
    361.92x = 179,920.45
  5. Step 5: Solve for x
    x = 179,920.45/361.92
  6. Step 6: Final answer
    x = 497.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.