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Finding the Fourth Proportional to 119.48, 165.10 and 84.92

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Solution

The fourth proportional to 119.48, 165.10 and 84.92 is: 117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.48 : 165.10 = 84.92 : x
  2. Step 2: Convert to fraction form
    119.48/165.10 = 84.92/x
  3. Step 3: Cross multiply
    119.48x = 165.10 × 84.92
  4. Step 4: Simplify right side
    119.48x = 14,020.29
  5. Step 5: Solve for x
    x = 14,020.29/119.48
  6. Step 6: Final answer
    x = 117.34

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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.