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Finding the Fourth Proportional to 215.08, 324.49 and 191.32

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Solution

The fourth proportional to 215.08, 324.49 and 191.32 is: 288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.08 : 324.49 = 191.32 : x
  2. Step 2: Convert to fraction form
    215.08/324.49 = 191.32/x
  3. Step 3: Cross multiply
    215.08x = 324.49 × 191.32
  4. Step 4: Simplify right side
    215.08x = 62,081.43
  5. Step 5: Solve for x
    x = 62,081.43/215.08
  6. Step 6: Final answer
    x = 288.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.