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Finding the Fourth Proportional to 284.99, 427.33 and 167.88

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Solution

The fourth proportional to 284.99, 427.33 and 167.88 is: 251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.99 : 427.33 = 167.88 : x
  2. Step 2: Convert to fraction form
    284.99/427.33 = 167.88/x
  3. Step 3: Cross multiply
    284.99x = 427.33 × 167.88
  4. Step 4: Simplify right side
    284.99x = 71,739.74
  5. Step 5: Solve for x
    x = 71,739.74/284.99
  6. Step 6: Final answer
    x = 251.73

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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.