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Finding the Fourth Proportional to 393.56, 589.72 and 248.97

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Solution

The fourth proportional to 393.56, 589.72 and 248.97 is: 373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.56 : 589.72 = 248.97 : x
  2. Step 2: Convert to fraction form
    393.56/589.72 = 248.97/x
  3. Step 3: Cross multiply
    393.56x = 589.72 × 248.97
  4. Step 4: Simplify right side
    393.56x = 146,821.97
  5. Step 5: Solve for x
    x = 146,821.97/393.56
  6. Step 6: Final answer
    x = 373.07

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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.