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Finding the Fourth Proportional to 265.12, 365.87 and 154.66

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Solution

The fourth proportional to 265.12, 365.87 and 154.66 is: 213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.12 : 365.87 = 154.66 : x
  2. Step 2: Convert to fraction form
    265.12/365.87 = 154.66/x
  3. Step 3: Cross multiply
    265.12x = 365.87 × 154.66
  4. Step 4: Simplify right side
    265.12x = 56,585.45
  5. Step 5: Solve for x
    x = 56,585.45/265.12
  6. Step 6: Final answer
    x = 213.43

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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.