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Finding the Fourth Proportional to 107.17, 159.72 and 106.28

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Solution

The fourth proportional to 107.17, 159.72 and 106.28 is: 158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.17 : 159.72 = 106.28 : x
  2. Step 2: Convert to fraction form
    107.17/159.72 = 106.28/x
  3. Step 3: Cross multiply
    107.17x = 159.72 × 106.28
  4. Step 4: Simplify right side
    107.17x = 16,974.84
  5. Step 5: Solve for x
    x = 16,974.84/107.17
  6. Step 6: Final answer
    x = 158.39

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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.