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Finding the Fourth Proportional to 265.18, 365.90 and 166.90

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Solution

The fourth proportional to 265.18, 365.90 and 166.90 is: 230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.18 : 365.90 = 166.90 : x
  2. Step 2: Convert to fraction form
    265.18/365.90 = 166.90/x
  3. Step 3: Cross multiply
    265.18x = 365.90 × 166.90
  4. Step 4: Simplify right side
    265.18x = 61,068.71
  5. Step 5: Solve for x
    x = 61,068.71/265.18
  6. Step 6: Final answer
    x = 230.29

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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.