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Finding the Fourth Proportional to 531.68, 797.18 and 206.70

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Solution

The fourth proportional to 531.68, 797.18 and 206.70 is: 309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.68 : 797.18 = 206.70 : x
  2. Step 2: Convert to fraction form
    531.68/797.18 = 206.70/x
  3. Step 3: Cross multiply
    531.68x = 797.18 × 206.70
  4. Step 4: Simplify right side
    531.68x = 164,777.11
  5. Step 5: Solve for x
    x = 164,777.11/531.68
  6. Step 6: Final answer
    x = 309.92

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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.