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Finding the Fourth Proportional to 265.17, 365.78 and 166.85

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Solution

The fourth proportional to 265.17, 365.78 and 166.85 is: 230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.17 : 365.78 = 166.85 : x
  2. Step 2: Convert to fraction form
    265.17/365.78 = 166.85/x
  3. Step 3: Cross multiply
    265.17x = 365.78 × 166.85
  4. Step 4: Simplify right side
    265.17x = 61,030.39
  5. Step 5: Solve for x
    x = 61,030.39/265.17
  6. Step 6: Final answer
    x = 230.16

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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.