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Finding the Fourth Proportional to 105.21, 158.73 and 100.17

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Solution

The fourth proportional to 105.21, 158.73 and 100.17 is: 151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.21 : 158.73 = 100.17 : x
  2. Step 2: Convert to fraction form
    105.21/158.73 = 100.17/x
  3. Step 3: Cross multiply
    105.21x = 158.73 × 100.17
  4. Step 4: Simplify right side
    105.21x = 15,899.98
  5. Step 5: Solve for x
    x = 15,899.98/105.21
  6. Step 6: Final answer
    x = 151.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.