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Finding the Fourth Proportional to 118.32, 176.30 and 109.14

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Solution

The fourth proportional to 118.32, 176.30 and 109.14 is: 162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.32 : 176.30 = 109.14 : x
  2. Step 2: Convert to fraction form
    118.32/176.30 = 109.14/x
  3. Step 3: Cross multiply
    118.32x = 176.30 × 109.14
  4. Step 4: Simplify right side
    118.32x = 19,240.84
  5. Step 5: Solve for x
    x = 19,240.84/118.32
  6. Step 6: Final answer
    x = 162.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.