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Finding the Fourth Proportional to 107.78, 162.32 and 100.08

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Solution

The fourth proportional to 107.78, 162.32 and 100.08 is: 150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.78 : 162.32 = 100.08 : x
  2. Step 2: Convert to fraction form
    107.78/162.32 = 100.08/x
  3. Step 3: Cross multiply
    107.78x = 162.32 × 100.08
  4. Step 4: Simplify right side
    107.78x = 16,244.49
  5. Step 5: Solve for x
    x = 16,244.49/107.78
  6. Step 6: Final answer
    x = 150.73

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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.