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Finding the Fourth Proportional to 120.42, 165.20 and 117.23

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Solution

The fourth proportional to 120.42, 165.20 and 117.23 is: 160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.42 : 165.20 = 117.23 : x
  2. Step 2: Convert to fraction form
    120.42/165.20 = 117.23/x
  3. Step 3: Cross multiply
    120.42x = 165.20 × 117.23
  4. Step 4: Simplify right side
    120.42x = 19,364.98
  5. Step 5: Solve for x
    x = 19,364.98/120.42
  6. Step 6: Final answer
    x = 160.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.