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Finding the Fourth Proportional to 118.64, 164.04 and 99.20

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Solution

The fourth proportional to 118.64, 164.04 and 99.20 is: 137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.64 : 164.04 = 99.20 : x
  2. Step 2: Convert to fraction form
    118.64/164.04 = 99.20/x
  3. Step 3: Cross multiply
    118.64x = 164.04 × 99.20
  4. Step 4: Simplify right side
    118.64x = 16,272.77
  5. Step 5: Solve for x
    x = 16,272.77/118.64
  6. Step 6: Final answer
    x = 137.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.