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Finding the Fourth Proportional to 531.55, 796.99 and 206.85

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Solution

The fourth proportional to 531.55, 796.99 and 206.85 is: 310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.55 : 796.99 = 206.85 : x
  2. Step 2: Convert to fraction form
    531.55/796.99 = 206.85/x
  3. Step 3: Cross multiply
    531.55x = 796.99 × 206.85
  4. Step 4: Simplify right side
    531.55x = 164,857.38
  5. Step 5: Solve for x
    x = 164,857.38/531.55
  6. Step 6: Final answer
    x = 310.14

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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.