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Finding the Fourth Proportional to 284.04, 428.49 and 272.70

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Solution

The fourth proportional to 284.04, 428.49 and 272.70 is: 411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.04 : 428.49 = 272.70 : x
  2. Step 2: Convert to fraction form
    284.04/428.49 = 272.70/x
  3. Step 3: Cross multiply
    284.04x = 428.49 × 272.70
  4. Step 4: Simplify right side
    284.04x = 116,849.22
  5. Step 5: Solve for x
    x = 116,849.22/284.04
  6. Step 6: Final answer
    x = 411.38

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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.