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Finding the Fourth Proportional to 155.26, 214.31 and 102.09

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Solution

The fourth proportional to 155.26, 214.31 and 102.09 is: 140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.26 : 214.31 = 102.09 : x
  2. Step 2: Convert to fraction form
    155.26/214.31 = 102.09/x
  3. Step 3: Cross multiply
    155.26x = 214.31 × 102.09
  4. Step 4: Simplify right side
    155.26x = 21,878.91
  5. Step 5: Solve for x
    x = 21,878.91/155.26
  6. Step 6: Final answer
    x = 140.92

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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.