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Finding the Fourth Proportional to 361.82, 497.48 and 322.11

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Solution

The fourth proportional to 361.82, 497.48 and 322.11 is: 442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.82 : 497.48 = 322.11 : x
  2. Step 2: Convert to fraction form
    361.82/497.48 = 322.11/x
  3. Step 3: Cross multiply
    361.82x = 497.48 × 322.11
  4. Step 4: Simplify right side
    361.82x = 160,241.67
  5. Step 5: Solve for x
    x = 160,241.67/361.82
  6. Step 6: Final answer
    x = 442.87

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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.