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Finding the Fourth Proportional to 284.10, 424.07 and 283.38

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Solution

The fourth proportional to 284.10, 424.07 and 283.38 is: 422.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.10 : 424.07 = 283.38 : x
  2. Step 2: Convert to fraction form
    284.10/424.07 = 283.38/x
  3. Step 3: Cross multiply
    284.10x = 424.07 × 283.38
  4. Step 4: Simplify right side
    284.10x = 120,171.54
  5. Step 5: Solve for x
    x = 120,171.54/284.10
  6. Step 6: Final answer
    x = 422.99

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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.