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Finding the Fourth Proportional to 119.15, 164.29 and 74.84

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Solution

The fourth proportional to 119.15, 164.29 and 74.84 is: 103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.15 : 164.29 = 74.84 : x
  2. Step 2: Convert to fraction form
    119.15/164.29 = 74.84/x
  3. Step 3: Cross multiply
    119.15x = 164.29 × 74.84
  4. Step 4: Simplify right side
    119.15x = 12,294.93
  5. Step 5: Solve for x
    x = 12,294.93/119.15
  6. Step 6: Final answer
    x = 103.19

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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.