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Finding the Fourth Proportional to 151.04, 208.32 and 121.92

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Solution

The fourth proportional to 151.04, 208.32 and 121.92 is: 168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.04 : 208.32 = 121.92 : x
  2. Step 2: Convert to fraction form
    151.04/208.32 = 121.92/x
  3. Step 3: Cross multiply
    151.04x = 208.32 × 121.92
  4. Step 4: Simplify right side
    151.04x = 25,398.37
  5. Step 5: Solve for x
    x = 25,398.37/151.04
  6. Step 6: Final answer
    x = 168.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.