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Finding the Fourth Proportional to 264.24, 393.24 and 254.52

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Solution

The fourth proportional to 264.24, 393.24 and 254.52 is: 378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.24 : 393.24 = 254.52 : x
  2. Step 2: Convert to fraction form
    264.24/393.24 = 254.52/x
  3. Step 3: Cross multiply
    264.24x = 393.24 × 254.52
  4. Step 4: Simplify right side
    264.24x = 100,087.44
  5. Step 5: Solve for x
    x = 100,087.44/264.24
  6. Step 6: Final answer
    x = 378.77

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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.