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Finding the Fourth Proportional to 119.17, 165.27 and 115.43

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Solution

The fourth proportional to 119.17, 165.27 and 115.43 is: 160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.17 : 165.27 = 115.43 : x
  2. Step 2: Convert to fraction form
    119.17/165.27 = 115.43/x
  3. Step 3: Cross multiply
    119.17x = 165.27 × 115.43
  4. Step 4: Simplify right side
    119.17x = 19,075.75
  5. Step 5: Solve for x
    x = 19,075.75/119.17
  6. Step 6: Final answer
    x = 160.07

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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.