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Finding the Fourth Proportional to 177.02, 266.77 and 166.76

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Solution

The fourth proportional to 177.02, 266.77 and 166.76 is: 251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.02 : 266.77 = 166.76 : x
  2. Step 2: Convert to fraction form
    177.02/266.77 = 166.76/x
  3. Step 3: Cross multiply
    177.02x = 266.77 × 166.76
  4. Step 4: Simplify right side
    177.02x = 44,486.57
  5. Step 5: Solve for x
    x = 44,486.57/177.02
  6. Step 6: Final answer
    x = 251.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.