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Finding the Fourth Proportional to 245.80, 370.33 and 226.12

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Solution

The fourth proportional to 245.80, 370.33 and 226.12 is: 340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.80 : 370.33 = 226.12 : x
  2. Step 2: Convert to fraction form
    245.80/370.33 = 226.12/x
  3. Step 3: Cross multiply
    245.80x = 370.33 × 226.12
  4. Step 4: Simplify right side
    245.80x = 83,739.02
  5. Step 5: Solve for x
    x = 83,739.02/245.80
  6. Step 6: Final answer
    x = 340.68

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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.