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Finding the Fourth Proportional to 400.74, 600.89 and 184.13

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Solution

The fourth proportional to 400.74, 600.89 and 184.13 is: 276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.74 : 600.89 = 184.13 : x
  2. Step 2: Convert to fraction form
    400.74/600.89 = 184.13/x
  3. Step 3: Cross multiply
    400.74x = 600.89 × 184.13
  4. Step 4: Simplify right side
    400.74x = 110,641.88
  5. Step 5: Solve for x
    x = 110,641.88/400.74
  6. Step 6: Final answer
    x = 276.09

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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.