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Finding the Fourth Proportional to 119.07, 177.84 and 100.80

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Solution

The fourth proportional to 119.07, 177.84 and 100.80 is: 150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.07 : 177.84 = 100.80 : x
  2. Step 2: Convert to fraction form
    119.07/177.84 = 100.80/x
  3. Step 3: Cross multiply
    119.07x = 177.84 × 100.80
  4. Step 4: Simplify right side
    119.07x = 17,926.27
  5. Step 5: Solve for x
    x = 17,926.27/119.07
  6. Step 6: Final answer
    x = 150.55

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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.