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Finding the Fourth Proportional to 119.99, 165.47 and 83.15

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Solution

The fourth proportional to 119.99, 165.47 and 83.15 is: 114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.99 : 165.47 = 83.15 : x
  2. Step 2: Convert to fraction form
    119.99/165.47 = 83.15/x
  3. Step 3: Cross multiply
    119.99x = 165.47 × 83.15
  4. Step 4: Simplify right side
    119.99x = 13,757.59
  5. Step 5: Solve for x
    x = 13,757.59/119.99
  6. Step 6: Final answer
    x = 114.66

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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.