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Finding the Fourth Proportional to 120.71, 165.56 and 114.23

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Solution

The fourth proportional to 120.71, 165.56 and 114.23 is: 156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.71 : 165.56 = 114.23 : x
  2. Step 2: Convert to fraction form
    120.71/165.56 = 114.23/x
  3. Step 3: Cross multiply
    120.71x = 165.56 × 114.23
  4. Step 4: Simplify right side
    120.71x = 18,911.76
  5. Step 5: Solve for x
    x = 18,911.76/120.71
  6. Step 6: Final answer
    x = 156.67

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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.