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Finding the Fourth Proportional to 399.30, 597.87 and 206.52

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Solution

The fourth proportional to 399.30, 597.87 and 206.52 is: 309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.30 : 597.87 = 206.52 : x
  2. Step 2: Convert to fraction form
    399.30/597.87 = 206.52/x
  3. Step 3: Cross multiply
    399.30x = 597.87 × 206.52
  4. Step 4: Simplify right side
    399.30x = 123,472.11
  5. Step 5: Solve for x
    x = 123,472.11/399.30
  6. Step 6: Final answer
    x = 309.22

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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.