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Finding the Fourth Proportional to 120.40, 165.77 and 101.94

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Solution

The fourth proportional to 120.40, 165.77 and 101.94 is: 140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.40 : 165.77 = 101.94 : x
  2. Step 2: Convert to fraction form
    120.40/165.77 = 101.94/x
  3. Step 3: Cross multiply
    120.40x = 165.77 × 101.94
  4. Step 4: Simplify right side
    120.40x = 16,898.59
  5. Step 5: Solve for x
    x = 16,898.59/120.40
  6. Step 6: Final answer
    x = 140.35

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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.