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Finding the Fourth Proportional to 284.92, 425.81 and 208.07

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Solution

The fourth proportional to 284.92, 425.81 and 208.07 is: 310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.92 : 425.81 = 208.07 : x
  2. Step 2: Convert to fraction form
    284.92/425.81 = 208.07/x
  3. Step 3: Cross multiply
    284.92x = 425.81 × 208.07
  4. Step 4: Simplify right side
    284.92x = 88,597.10
  5. Step 5: Solve for x
    x = 88,597.10/284.92
  6. Step 6: Final answer
    x = 310.96

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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.