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Finding the Fourth Proportional to 177.18, 264.68 and 168.30

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Solution

The fourth proportional to 177.18, 264.68 and 168.30 is: 251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.18 : 264.68 = 168.30 : x
  2. Step 2: Convert to fraction form
    177.18/264.68 = 168.30/x
  3. Step 3: Cross multiply
    177.18x = 264.68 × 168.30
  4. Step 4: Simplify right side
    177.18x = 44,544.80
  5. Step 5: Solve for x
    x = 44,544.80/177.18
  6. Step 6: Final answer
    x = 251.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.