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Finding the Fourth Proportional to 177.48, 245 and 166.41

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Solution

The fourth proportional to 177.48, 245 and 166.41 is: 229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.48 : 245 = 166.41 : x
  2. Step 2: Convert to fraction form
    177.48/245 = 166.41/x
  3. Step 3: Cross multiply
    177.48x = 245 × 166.41
  4. Step 4: Simplify right side
    177.48x = 40,769.84
  5. Step 5: Solve for x
    x = 40,769.84/177.48
  6. Step 6: Final answer
    x = 229.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.