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Finding the Fourth Proportional to 268.55, 404.88 and 265.09

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Solution

The fourth proportional to 268.55, 404.88 and 265.09 is: 399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.55 : 404.88 = 265.09 : x
  2. Step 2: Convert to fraction form
    268.55/404.88 = 265.09/x
  3. Step 3: Cross multiply
    268.55x = 404.88 × 265.09
  4. Step 4: Simplify right side
    268.55x = 107,329.64
  5. Step 5: Solve for x
    x = 107,329.64/268.55
  6. Step 6: Final answer
    x = 399.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.