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Finding the Fourth Proportional to 303.31, 418.06 and 261.70

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Solution

The fourth proportional to 303.31, 418.06 and 261.70 is: 360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.31 : 418.06 = 261.70 : x
  2. Step 2: Convert to fraction form
    303.31/418.06 = 261.70/x
  3. Step 3: Cross multiply
    303.31x = 418.06 × 261.70
  4. Step 4: Simplify right side
    303.31x = 109,406.30
  5. Step 5: Solve for x
    x = 109,406.30/303.31
  6. Step 6: Final answer
    x = 360.71

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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.