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Finding the Fourth Proportional to 118.08, 161.65 and 114.40

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Solution

The fourth proportional to 118.08, 161.65 and 114.40 is: 156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.08 : 161.65 = 114.40 : x
  2. Step 2: Convert to fraction form
    118.08/161.65 = 114.40/x
  3. Step 3: Cross multiply
    118.08x = 161.65 × 114.40
  4. Step 4: Simplify right side
    118.08x = 18,492.76
  5. Step 5: Solve for x
    x = 18,492.76/118.08
  6. Step 6: Final answer
    x = 156.61

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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.