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Finding the Fourth Proportional to 361.67, 497.00 and 287.85

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Solution

The fourth proportional to 361.67, 497.00 and 287.85 is: 395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.67 : 497.00 = 287.85 : x
  2. Step 2: Convert to fraction form
    361.67/497.00 = 287.85/x
  3. Step 3: Cross multiply
    361.67x = 497.00 × 287.85
  4. Step 4: Simplify right side
    361.67x = 143,062.82
  5. Step 5: Solve for x
    x = 143,062.82/361.67
  6. Step 6: Final answer
    x = 395.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.