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Finding the Fourth Proportional to 265.49, 397.90 and 208.08

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Solution

The fourth proportional to 265.49, 397.90 and 208.08 is: 311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.49 : 397.90 = 208.08 : x
  2. Step 2: Convert to fraction form
    265.49/397.90 = 208.08/x
  3. Step 3: Cross multiply
    265.49x = 397.90 × 208.08
  4. Step 4: Simplify right side
    265.49x = 82,793.99
  5. Step 5: Solve for x
    x = 82,793.99/265.49
  6. Step 6: Final answer
    x = 311.85

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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.