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Finding the Fourth Proportional to 307.70, 425.15 and 209.89

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Solution

The fourth proportional to 307.70, 425.15 and 209.89 is: 290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.70 : 425.15 = 209.89 : x
  2. Step 2: Convert to fraction form
    307.70/425.15 = 209.89/x
  3. Step 3: Cross multiply
    307.70x = 425.15 × 209.89
  4. Step 4: Simplify right side
    307.70x = 89,234.73
  5. Step 5: Solve for x
    x = 89,234.73/307.70
  6. Step 6: Final answer
    x = 290.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.