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Finding the Fourth Proportional to 288.80, 404.73 and 288.80

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Solution

The fourth proportional to 288.80, 404.73 and 288.80 is: 404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.80 : 404.73 = 288.80 : x
  2. Step 2: Convert to fraction form
    288.80/404.73 = 288.80/x
  3. Step 3: Cross multiply
    288.80x = 404.73 × 288.80
  4. Step 4: Simplify right side
    288.80x = 116,884.58
  5. Step 5: Solve for x
    x = 116,884.58/288.80
  6. Step 6: Final answer
    x = 404.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.