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Finding the Fourth Proportional to 284.87, 425.57 and 181.32

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Solution

The fourth proportional to 284.87, 425.57 and 181.32 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.87 : 425.57 = 181.32 : x
  2. Step 2: Convert to fraction form
    284.87/425.57 = 181.32/x
  3. Step 3: Cross multiply
    284.87x = 425.57 × 181.32
  4. Step 4: Simplify right side
    284.87x = 77,164.35
  5. Step 5: Solve for x
    x = 77,164.35/284.87
  6. Step 6: Final answer
    x = 270.88

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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.