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Finding the Fourth Proportional to 120.24, 163.71 and 118.08

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Solution

The fourth proportional to 120.24, 163.71 and 118.08 is: 160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 163.71 = 118.08 : x
  2. Step 2: Convert to fraction form
    120.24/163.71 = 118.08/x
  3. Step 3: Cross multiply
    120.24x = 163.71 × 118.08
  4. Step 4: Simplify right side
    120.24x = 19,330.88
  5. Step 5: Solve for x
    x = 19,330.88/120.24
  6. Step 6: Final answer
    x = 160.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.