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Finding the Fourth Proportional to 303.06, 417.92 and 229.29

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Solution

The fourth proportional to 303.06, 417.92 and 229.29 is: 316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.06 : 417.92 = 229.29 : x
  2. Step 2: Convert to fraction form
    303.06/417.92 = 229.29/x
  3. Step 3: Cross multiply
    303.06x = 417.92 × 229.29
  4. Step 4: Simplify right side
    303.06x = 95,824.88
  5. Step 5: Solve for x
    x = 95,824.88/303.06
  6. Step 6: Final answer
    x = 316.19

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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.