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Finding the Fourth Proportional to 284.69, 424.81 and 267.28

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Solution

The fourth proportional to 284.69, 424.81 and 267.28 is: 398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.69 : 424.81 = 267.28 : x
  2. Step 2: Convert to fraction form
    284.69/424.81 = 267.28/x
  3. Step 3: Cross multiply
    284.69x = 424.81 × 267.28
  4. Step 4: Simplify right side
    284.69x = 113,542.28
  5. Step 5: Solve for x
    x = 113,542.28/284.69
  6. Step 6: Final answer
    x = 398.82

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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.