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Finding the Fourth Proportional to 393.76, 590.63 and 162.48

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Solution

The fourth proportional to 393.76, 590.63 and 162.48 is: 243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.76 : 590.63 = 162.48 : x
  2. Step 2: Convert to fraction form
    393.76/590.63 = 162.48/x
  3. Step 3: Cross multiply
    393.76x = 590.63 × 162.48
  4. Step 4: Simplify right side
    393.76x = 95,964.18
  5. Step 5: Solve for x
    x = 95,964.18/393.76
  6. Step 6: Final answer
    x = 243.71

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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.