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Finding the Fourth Proportional to 118.40, 163.35 and 85.64

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Solution

The fourth proportional to 118.40, 163.35 and 85.64 is: 118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.40 : 163.35 = 85.64 : x
  2. Step 2: Convert to fraction form
    118.40/163.35 = 85.64/x
  3. Step 3: Cross multiply
    118.40x = 163.35 × 85.64
  4. Step 4: Simplify right side
    118.40x = 13,989.29
  5. Step 5: Solve for x
    x = 13,989.29/118.40
  6. Step 6: Final answer
    x = 118.15

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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.