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Finding the Fourth Proportional to 265, 365.64 and 166.78

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Solution

The fourth proportional to 265, 365.64 and 166.78 is: 230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265 : 365.64 = 166.78 : x
  2. Step 2: Convert to fraction form
    265/365.64 = 166.78/x
  3. Step 3: Cross multiply
    265x = 365.64 × 166.78
  4. Step 4: Simplify right side
    265x = 60,981.44
  5. Step 5: Solve for x
    x = 60,981.44/265
  6. Step 6: Final answer
    x = 230.12

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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.