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Finding the Fourth Proportional to 120.78, 165.60 and 118.89

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Solution

The fourth proportional to 120.78, 165.60 and 118.89 is: 163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 165.60 = 118.89 : x
  2. Step 2: Convert to fraction form
    120.78/165.60 = 118.89/x
  3. Step 3: Cross multiply
    120.78x = 165.60 × 118.89
  4. Step 4: Simplify right side
    120.78x = 19,688.18
  5. Step 5: Solve for x
    x = 19,688.18/120.78
  6. Step 6: Final answer
    x = 163.01

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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.