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Finding the Fourth Proportional to 264.76, 394.31 and 249.05

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Solution

The fourth proportional to 264.76, 394.31 and 249.05 is: 370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.76 : 394.31 = 249.05 : x
  2. Step 2: Convert to fraction form
    264.76/394.31 = 249.05/x
  3. Step 3: Cross multiply
    264.76x = 394.31 × 249.05
  4. Step 4: Simplify right side
    264.76x = 98,204.51
  5. Step 5: Solve for x
    x = 98,204.51/264.76
  6. Step 6: Final answer
    x = 370.92

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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.