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Finding the Fourth Proportional to 304.47, 417.79 and 276.75

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Solution

The fourth proportional to 304.47, 417.79 and 276.75 is: 379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.47 : 417.79 = 276.75 : x
  2. Step 2: Convert to fraction form
    304.47/417.79 = 276.75/x
  3. Step 3: Cross multiply
    304.47x = 417.79 × 276.75
  4. Step 4: Simplify right side
    304.47x = 115,623.38
  5. Step 5: Solve for x
    x = 115,623.38/304.47
  6. Step 6: Final answer
    x = 379.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.