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Finding the Fourth Proportional to 531.47, 797.11 and 206.80

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Solution

The fourth proportional to 531.47, 797.11 and 206.80 is: 310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.47 : 797.11 = 206.80 : x
  2. Step 2: Convert to fraction form
    531.47/797.11 = 206.80/x
  3. Step 3: Cross multiply
    531.47x = 797.11 × 206.80
  4. Step 4: Simplify right side
    531.47x = 164,839.84
  5. Step 5: Solve for x
    x = 164,839.84/531.47
  6. Step 6: Final answer
    x = 310.16

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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.