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Finding the Fourth Proportional to 155.66, 214.81 and 100.41

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Solution

The fourth proportional to 155.66, 214.81 and 100.41 is: 138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.66 : 214.81 = 100.41 : x
  2. Step 2: Convert to fraction form
    155.66/214.81 = 100.41/x
  3. Step 3: Cross multiply
    155.66x = 214.81 × 100.41
  4. Step 4: Simplify right side
    155.66x = 21,568.57
  5. Step 5: Solve for x
    x = 21,568.57/155.66
  6. Step 6: Final answer
    x = 138.56

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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.