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Finding the Fourth Proportional to 272.16, 404.55 and 264.78

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Solution

The fourth proportional to 272.16, 404.55 and 264.78 is: 393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.16 : 404.55 = 264.78 : x
  2. Step 2: Convert to fraction form
    272.16/404.55 = 264.78/x
  3. Step 3: Cross multiply
    272.16x = 404.55 × 264.78
  4. Step 4: Simplify right side
    272.16x = 107,116.75
  5. Step 5: Solve for x
    x = 107,116.75/272.16
  6. Step 6: Final answer
    x = 393.58

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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.