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Finding the Fourth Proportional to 303.38, 417.78 and 261.80

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Solution

The fourth proportional to 303.38, 417.78 and 261.80 is: 360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.38 : 417.78 = 261.80 : x
  2. Step 2: Convert to fraction form
    303.38/417.78 = 261.80/x
  3. Step 3: Cross multiply
    303.38x = 417.78 × 261.80
  4. Step 4: Simplify right side
    303.38x = 109,374.80
  5. Step 5: Solve for x
    x = 109,374.80/303.38
  6. Step 6: Final answer
    x = 360.52

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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.