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Finding the Fourth Proportional to 213.80, 318.48 and 195.08

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Solution

The fourth proportional to 213.80, 318.48 and 195.08 is: 290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.80 : 318.48 = 195.08 : x
  2. Step 2: Convert to fraction form
    213.80/318.48 = 195.08/x
  3. Step 3: Cross multiply
    213.80x = 318.48 × 195.08
  4. Step 4: Simplify right side
    213.80x = 62,129.08
  5. Step 5: Solve for x
    x = 62,129.08/213.80
  6. Step 6: Final answer
    x = 290.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.