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Finding the Fourth Proportional to 177.81, 266.84 and 120.14

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Solution

The fourth proportional to 177.81, 266.84 and 120.14 is: 180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.81 : 266.84 = 120.14 : x
  2. Step 2: Convert to fraction form
    177.81/266.84 = 120.14/x
  3. Step 3: Cross multiply
    177.81x = 266.84 × 120.14
  4. Step 4: Simplify right side
    177.81x = 32,056.22
  5. Step 5: Solve for x
    x = 32,056.22/177.81
  6. Step 6: Final answer
    x = 180.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.