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Finding the Fourth Proportional to 107.38, 159.75 and 107.02

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Solution

The fourth proportional to 107.38, 159.75 and 107.02 is: 159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.38 : 159.75 = 107.02 : x
  2. Step 2: Convert to fraction form
    107.38/159.75 = 107.02/x
  3. Step 3: Cross multiply
    107.38x = 159.75 × 107.02
  4. Step 4: Simplify right side
    107.38x = 17,096.45
  5. Step 5: Solve for x
    x = 17,096.45/107.38
  6. Step 6: Final answer
    x = 159.21

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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.