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Finding the Fourth Proportional to 151.33, 208.83 and 102.19

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Solution

The fourth proportional to 151.33, 208.83 and 102.19 is: 141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.33 : 208.83 = 102.19 : x
  2. Step 2: Convert to fraction form
    151.33/208.83 = 102.19/x
  3. Step 3: Cross multiply
    151.33x = 208.83 × 102.19
  4. Step 4: Simplify right side
    151.33x = 21,340.34
  5. Step 5: Solve for x
    x = 21,340.34/151.33
  6. Step 6: Final answer
    x = 141.02

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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.