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Finding the Fourth Proportional to 388.38, 581.73 and 225.66

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Solution

The fourth proportional to 388.38, 581.73 and 225.66 is: 338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.38 : 581.73 = 225.66 : x
  2. Step 2: Convert to fraction form
    388.38/581.73 = 225.66/x
  3. Step 3: Cross multiply
    388.38x = 581.73 × 225.66
  4. Step 4: Simplify right side
    388.38x = 131,273.19
  5. Step 5: Solve for x
    x = 131,273.19/388.38
  6. Step 6: Final answer
    x = 338.00

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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.