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Finding the Fourth Proportional to 178.03, 266.64 and 169.93

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Solution

The fourth proportional to 178.03, 266.64 and 169.93 is: 254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.03 : 266.64 = 169.93 : x
  2. Step 2: Convert to fraction form
    178.03/266.64 = 169.93/x
  3. Step 3: Cross multiply
    178.03x = 266.64 × 169.93
  4. Step 4: Simplify right side
    178.03x = 45,310.14
  5. Step 5: Solve for x
    x = 45,310.14/178.03
  6. Step 6: Final answer
    x = 254.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.