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Finding the Fourth Proportional to 265.30, 399.51 and 231.46

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Solution

The fourth proportional to 265.30, 399.51 and 231.46 is: 348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.30 : 399.51 = 231.46 : x
  2. Step 2: Convert to fraction form
    265.30/399.51 = 231.46/x
  3. Step 3: Cross multiply
    265.30x = 399.51 × 231.46
  4. Step 4: Simplify right side
    265.30x = 92,469.59
  5. Step 5: Solve for x
    x = 92,469.59/265.30
  6. Step 6: Final answer
    x = 348.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.