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Finding the Fourth Proportional to 543.82, 816.02 and 361.30

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Solution

The fourth proportional to 543.82, 816.02 and 361.30 is: 542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.82 : 816.02 = 361.30 : x
  2. Step 2: Convert to fraction form
    543.82/816.02 = 361.30/x
  3. Step 3: Cross multiply
    543.82x = 816.02 × 361.30
  4. Step 4: Simplify right side
    543.82x = 294,828.03
  5. Step 5: Solve for x
    x = 294,828.03/543.82
  6. Step 6: Final answer
    x = 542.14

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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.