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Finding the Fourth Proportional to 264.20, 364.28 and 248.31

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Solution

The fourth proportional to 264.20, 364.28 and 248.31 is: 342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.20 : 364.28 = 248.31 : x
  2. Step 2: Convert to fraction form
    264.20/364.28 = 248.31/x
  3. Step 3: Cross multiply
    264.20x = 364.28 × 248.31
  4. Step 4: Simplify right side
    264.20x = 90,454.37
  5. Step 5: Solve for x
    x = 90,454.37/264.20
  6. Step 6: Final answer
    x = 342.38

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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.