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Finding the Fourth Proportional to 177.12, 245.56 and 173.60

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Solution

The fourth proportional to 177.12, 245.56 and 173.60 is: 240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.12 : 245.56 = 173.60 : x
  2. Step 2: Convert to fraction form
    177.12/245.56 = 173.60/x
  3. Step 3: Cross multiply
    177.12x = 245.56 × 173.60
  4. Step 4: Simplify right side
    177.12x = 42,629.22
  5. Step 5: Solve for x
    x = 42,629.22/177.12
  6. Step 6: Final answer
    x = 240.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.