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Finding the Fourth Proportional to 245.70, 370.21 and 203.31

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Solution

The fourth proportional to 245.70, 370.21 and 203.31 is: 306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.70 : 370.21 = 203.31 : x
  2. Step 2: Convert to fraction form
    245.70/370.21 = 203.31/x
  3. Step 3: Cross multiply
    245.70x = 370.21 × 203.31
  4. Step 4: Simplify right side
    245.70x = 75,265.54
  5. Step 5: Solve for x
    x = 75,265.54/245.70
  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.