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Finding the Fourth Proportional to 303.86, 455.90 and 269.88

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Solution

The fourth proportional to 303.86, 455.90 and 269.88 is: 404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.86 : 455.90 = 269.88 : x
  2. Step 2: Convert to fraction form
    303.86/455.90 = 269.88/x
  3. Step 3: Cross multiply
    303.86x = 455.90 × 269.88
  4. Step 4: Simplify right side
    303.86x = 123,036.75
  5. Step 5: Solve for x
    x = 123,036.75/303.86
  6. Step 6: Final answer
    x = 404.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.