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Finding the Fourth Proportional to 303.11, 417.43 and 275.77

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Solution

The fourth proportional to 303.11, 417.43 and 275.77 is: 379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.11 : 417.43 = 275.77 : x
  2. Step 2: Convert to fraction form
    303.11/417.43 = 275.77/x
  3. Step 3: Cross multiply
    303.11x = 417.43 × 275.77
  4. Step 4: Simplify right side
    303.11x = 115,115.54
  5. Step 5: Solve for x
    x = 115,115.54/303.11
  6. Step 6: Final answer
    x = 379.78

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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.