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Finding the Fourth Proportional to 272.09, 404.66 and 264.80

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Solution

The fourth proportional to 272.09, 404.66 and 264.80 is: 393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.09 : 404.66 = 264.80 : x
  2. Step 2: Convert to fraction form
    272.09/404.66 = 264.80/x
  3. Step 3: Cross multiply
    272.09x = 404.66 × 264.80
  4. Step 4: Simplify right side
    272.09x = 107,155.64
  5. Step 5: Solve for x
    x = 107,155.64/272.09
  6. Step 6: Final answer
    x = 393.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.