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Finding the Fourth Proportional to 177.60, 243.12 and 172.08

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Solution

The fourth proportional to 177.60, 243.12 and 172.08 is: 235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.60 : 243.12 = 172.08 : x
  2. Step 2: Convert to fraction form
    177.60/243.12 = 172.08/x
  3. Step 3: Cross multiply
    177.60x = 243.12 × 172.08
  4. Step 4: Simplify right side
    177.60x = 41,836.09
  5. Step 5: Solve for x
    x = 41,836.09/177.60
  6. Step 6: Final answer
    x = 235.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.