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Finding the Fourth Proportional to 265.22, 395.28 and 264.82

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Solution

The fourth proportional to 265.22, 395.28 and 264.82 is: 394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.22 : 395.28 = 264.82 : x
  2. Step 2: Convert to fraction form
    265.22/395.28 = 264.82/x
  3. Step 3: Cross multiply
    265.22x = 395.28 × 264.82
  4. Step 4: Simplify right side
    265.22x = 104,678.05
  5. Step 5: Solve for x
    x = 104,678.05/265.22
  6. Step 6: Final answer
    x = 394.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.