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Finding the Fourth Proportional to 119.04, 177.89 and 106.99

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Solution

The fourth proportional to 119.04, 177.89 and 106.99 is: 159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.04 : 177.89 = 106.99 : x
  2. Step 2: Convert to fraction form
    119.04/177.89 = 106.99/x
  3. Step 3: Cross multiply
    119.04x = 177.89 × 106.99
  4. Step 4: Simplify right side
    119.04x = 19,032.45
  5. Step 5: Solve for x
    x = 19,032.45/119.04
  6. Step 6: Final answer
    x = 159.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.