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Finding the Fourth Proportional to 284.49, 425.01 and 180.95

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Solution

The fourth proportional to 284.49, 425.01 and 180.95 is: 270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.49 : 425.01 = 180.95 : x
  2. Step 2: Convert to fraction form
    284.49/425.01 = 180.95/x
  3. Step 3: Cross multiply
    284.49x = 425.01 × 180.95
  4. Step 4: Simplify right side
    284.49x = 76,903.43
  5. Step 5: Solve for x
    x = 76,903.43/284.49
  6. Step 6: Final answer
    x = 270.32

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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.