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Finding the Fourth Proportional to 284, 425.84 and 129.84

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Solution

The fourth proportional to 284, 425.84 and 129.84 is: 194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284 : 425.84 = 129.84 : x
  2. Step 2: Convert to fraction form
    284/425.84 = 129.84/x
  3. Step 3: Cross multiply
    284x = 425.84 × 129.84
  4. Step 4: Simplify right side
    284x = 55,291.07
  5. Step 5: Solve for x
    x = 55,291.07/284
  6. Step 6: Final answer
    x = 194.69

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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.