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Finding the Fourth Proportional to 119.30, 164.68 and 80.50

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Solution

The fourth proportional to 119.30, 164.68 and 80.50 is: 111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.30 : 164.68 = 80.50 : x
  2. Step 2: Convert to fraction form
    119.30/164.68 = 80.50/x
  3. Step 3: Cross multiply
    119.30x = 164.68 × 80.50
  4. Step 4: Simplify right side
    119.30x = 13,256.74
  5. Step 5: Solve for x
    x = 13,256.74/119.30
  6. Step 6: Final answer
    x = 111.12

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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.