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Finding the Fourth Proportional to 284.94, 425.23 and 254.19

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Solution

The fourth proportional to 284.94, 425.23 and 254.19 is: 379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.94 : 425.23 = 254.19 : x
  2. Step 2: Convert to fraction form
    284.94/425.23 = 254.19/x
  3. Step 3: Cross multiply
    284.94x = 425.23 × 254.19
  4. Step 4: Simplify right side
    284.94x = 108,089.21
  5. Step 5: Solve for x
    x = 108,089.21/284.94
  6. Step 6: Final answer
    x = 379.34

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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.