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Finding the Fourth Proportional to 215.26, 321.33 and 185.02

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Solution

The fourth proportional to 215.26, 321.33 and 185.02 is: 276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.26 : 321.33 = 185.02 : x
  2. Step 2: Convert to fraction form
    215.26/321.33 = 185.02/x
  3. Step 3: Cross multiply
    215.26x = 321.33 × 185.02
  4. Step 4: Simplify right side
    215.26x = 59,451.55
  5. Step 5: Solve for x
    x = 59,451.55/215.26
  6. Step 6: Final answer
    x = 276.18

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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.