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Finding the Fourth Proportional to 265.21, 365.92 and 154.64

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Solution

The fourth proportional to 265.21, 365.92 and 154.64 is: 213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.21 : 365.92 = 154.64 : x
  2. Step 2: Convert to fraction form
    265.21/365.92 = 154.64/x
  3. Step 3: Cross multiply
    265.21x = 365.92 × 154.64
  4. Step 4: Simplify right side
    265.21x = 56,586.40
  5. Step 5: Solve for x
    x = 56,586.40/265.21
  6. Step 6: Final answer
    x = 213.37

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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.