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Finding the Fourth Proportional to 100.70, 150.90 and 68.18

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Solution

The fourth proportional to 100.70, 150.90 and 68.18 is: 102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.70 : 150.90 = 68.18 : x
  2. Step 2: Convert to fraction form
    100.70/150.90 = 68.18/x
  3. Step 3: Cross multiply
    100.70x = 150.90 × 68.18
  4. Step 4: Simplify right side
    100.70x = 10,288.36
  5. Step 5: Solve for x
    x = 10,288.36/100.70
  6. Step 6: Final answer
    x = 102.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.