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Finding the Fourth Proportional to 215.16, 320.96 and 194.64

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Solution

The fourth proportional to 215.16, 320.96 and 194.64 is: 290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.16 : 320.96 = 194.64 : x
  2. Step 2: Convert to fraction form
    215.16/320.96 = 194.64/x
  3. Step 3: Cross multiply
    215.16x = 320.96 × 194.64
  4. Step 4: Simplify right side
    215.16x = 62,470.68
  5. Step 5: Solve for x
    x = 62,470.68/215.16
  6. Step 6: Final answer
    x = 290.35

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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.