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Finding the Fourth Proportional to 104.66, 155.81 and 100.47

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Solution

The fourth proportional to 104.66, 155.81 and 100.47 is: 149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.66 : 155.81 = 100.47 : x
  2. Step 2: Convert to fraction form
    104.66/155.81 = 100.47/x
  3. Step 3: Cross multiply
    104.66x = 155.81 × 100.47
  4. Step 4: Simplify right side
    104.66x = 15,653.73
  5. Step 5: Solve for x
    x = 15,653.73/104.66
  6. Step 6: Final answer
    x = 149.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.