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Finding the Fourth Proportional to 165.91, 228.88 and 109.95

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Solution

The fourth proportional to 165.91, 228.88 and 109.95 is: 151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.91 : 228.88 = 109.95 : x
  2. Step 2: Convert to fraction form
    165.91/228.88 = 109.95/x
  3. Step 3: Cross multiply
    165.91x = 228.88 × 109.95
  4. Step 4: Simplify right side
    165.91x = 25,165.36
  5. Step 5: Solve for x
    x = 25,165.36/165.91
  6. Step 6: Final answer
    x = 151.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.