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Finding the Fourth Proportional to 451.99, 678.39 and 178.62

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Solution

The fourth proportional to 451.99, 678.39 and 178.62 is: 268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.99 : 678.39 = 178.62 : x
  2. Step 2: Convert to fraction form
    451.99/678.39 = 178.62/x
  3. Step 3: Cross multiply
    451.99x = 678.39 × 178.62
  4. Step 4: Simplify right side
    451.99x = 121,174.02
  5. Step 5: Solve for x
    x = 121,174.02/451.99
  6. Step 6: Final answer
    x = 268.09

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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.