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Finding the Fourth Proportional to 122.96, 170.48 and 118.40

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Solution

The fourth proportional to 122.96, 170.48 and 118.40 is: 164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.96 : 170.48 = 118.40 : x
  2. Step 2: Convert to fraction form
    122.96/170.48 = 118.40/x
  3. Step 3: Cross multiply
    122.96x = 170.48 × 118.40
  4. Step 4: Simplify right side
    122.96x = 20,184.83
  5. Step 5: Solve for x
    x = 20,184.83/122.96
  6. Step 6: Final answer
    x = 164.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.