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Finding the Fourth Proportional to 617.21, 925.49 and 206.20

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Solution

The fourth proportional to 617.21, 925.49 and 206.20 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.21 : 925.49 = 206.20 : x
  2. Step 2: Convert to fraction form
    617.21/925.49 = 206.20/x
  3. Step 3: Cross multiply
    617.21x = 925.49 × 206.20
  4. Step 4: Simplify right side
    617.21x = 190,836.04
  5. Step 5: Solve for x
    x = 190,836.04/617.21
  6. Step 6: Final answer
    x = 309.19

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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.