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Finding the Fourth Proportional to 119.25, 164.42 and 77.17

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Solution

The fourth proportional to 119.25, 164.42 and 77.17 is: 106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.25 : 164.42 = 77.17 : x
  2. Step 2: Convert to fraction form
    119.25/164.42 = 77.17/x
  3. Step 3: Cross multiply
    119.25x = 164.42 × 77.17
  4. Step 4: Simplify right side
    119.25x = 12,688.29
  5. Step 5: Solve for x
    x = 12,688.29/119.25
  6. Step 6: Final answer
    x = 106.40

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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.