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Finding the Fourth Proportional to 284.29, 424.49 and 254.82

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Solution

The fourth proportional to 284.29, 424.49 and 254.82 is: 380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.29 : 424.49 = 254.82 : x
  2. Step 2: Convert to fraction form
    284.29/424.49 = 254.82/x
  3. Step 3: Cross multiply
    284.29x = 424.49 × 254.82
  4. Step 4: Simplify right side
    284.29x = 108,168.54
  5. Step 5: Solve for x
    x = 108,168.54/284.29
  6. Step 6: Final answer
    x = 380.49

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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.