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Finding the Fourth Proportional to 151.63, 209.22 and 104.93

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Solution

The fourth proportional to 151.63, 209.22 and 104.93 is: 144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.63 : 209.22 = 104.93 : x
  2. Step 2: Convert to fraction form
    151.63/209.22 = 104.93/x
  3. Step 3: Cross multiply
    151.63x = 209.22 × 104.93
  4. Step 4: Simplify right side
    151.63x = 21,953.45
  5. Step 5: Solve for x
    x = 21,953.45/151.63
  6. Step 6: Final answer
    x = 144.78

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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.