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Finding the Fourth Proportional to 176.82, 266.34 and 166.02

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Solution

The fourth proportional to 176.82, 266.34 and 166.02 is: 250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.82 : 266.34 = 166.02 : x
  2. Step 2: Convert to fraction form
    176.82/266.34 = 166.02/x
  3. Step 3: Cross multiply
    176.82x = 266.34 × 166.02
  4. Step 4: Simplify right side
    176.82x = 44,217.77
  5. Step 5: Solve for x
    x = 44,217.77/176.82
  6. Step 6: Final answer
    x = 250.07

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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.