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Finding the Fourth Proportional to 245.69, 370.22 and 203.30

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Solution

The fourth proportional to 245.69, 370.22 and 203.30 is: 306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.69 : 370.22 = 203.30 : x
  2. Step 2: Convert to fraction form
    245.69/370.22 = 203.30/x
  3. Step 3: Cross multiply
    245.69x = 370.22 × 203.30
  4. Step 4: Simplify right side
    245.69x = 75,265.73
  5. Step 5: Solve for x
    x = 75,265.73/245.69
  6. Step 6: Final answer
    x = 306.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.