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Finding the Fourth Proportional to 177.32, 244.34 and 166.16

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Solution

The fourth proportional to 177.32, 244.34 and 166.16 is: 228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.32 : 244.34 = 166.16 : x
  2. Step 2: Convert to fraction form
    177.32/244.34 = 166.16/x
  3. Step 3: Cross multiply
    177.32x = 244.34 × 166.16
  4. Step 4: Simplify right side
    177.32x = 40,599.53
  5. Step 5: Solve for x
    x = 40,599.53/177.32
  6. Step 6: Final answer
    x = 228.96

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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.