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Finding the Fourth Proportional to 284.49, 425.91 and 261.81

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Solution

The fourth proportional to 284.49, 425.91 and 261.81 is: 391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.49 : 425.91 = 261.81 : x
  2. Step 2: Convert to fraction form
    284.49/425.91 = 261.81/x
  3. Step 3: Cross multiply
    284.49x = 425.91 × 261.81
  4. Step 4: Simplify right side
    284.49x = 111,507.50
  5. Step 5: Solve for x
    x = 111,507.50/284.49
  6. Step 6: Final answer
    x = 391.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.