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Finding the Fourth Proportional to 109.88, 165.49 and 92.88

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Solution

The fourth proportional to 109.88, 165.49 and 92.88 is: 139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.88 : 165.49 = 92.88 : x
  2. Step 2: Convert to fraction form
    109.88/165.49 = 92.88/x
  3. Step 3: Cross multiply
    109.88x = 165.49 × 92.88
  4. Step 4: Simplify right side
    109.88x = 15,370.71
  5. Step 5: Solve for x
    x = 15,370.71/109.88
  6. Step 6: Final answer
    x = 139.89

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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.