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Finding the Fourth Proportional to 393.80, 590.58 and 162.66

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Solution

The fourth proportional to 393.80, 590.58 and 162.66 is: 243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.80 : 590.58 = 162.66 : x
  2. Step 2: Convert to fraction form
    393.80/590.58 = 162.66/x
  3. Step 3: Cross multiply
    393.80x = 590.58 × 162.66
  4. Step 4: Simplify right side
    393.80x = 96,063.74
  5. Step 5: Solve for x
    x = 96,063.74/393.80
  6. Step 6: Final answer
    x = 243.94

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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.