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Finding the Fourth Proportional to 270.80, 373.92 and 177.60

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Solution

The fourth proportional to 270.80, 373.92 and 177.60 is: 245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.80 : 373.92 = 177.60 : x
  2. Step 2: Convert to fraction form
    270.80/373.92 = 177.60/x
  3. Step 3: Cross multiply
    270.80x = 373.92 × 177.60
  4. Step 4: Simplify right side
    270.80x = 66,408.19
  5. Step 5: Solve for x
    x = 66,408.19/270.80
  6. Step 6: Final answer
    x = 245.23

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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.