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Finding the Fourth Proportional to 265.32, 396.06 and 253.48

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Solution

The fourth proportional to 265.32, 396.06 and 253.48 is: 378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.32 : 396.06 = 253.48 : x
  2. Step 2: Convert to fraction form
    265.32/396.06 = 253.48/x
  3. Step 3: Cross multiply
    265.32x = 396.06 × 253.48
  4. Step 4: Simplify right side
    265.32x = 100,393.29
  5. Step 5: Solve for x
    x = 100,393.29/265.32
  6. Step 6: Final answer
    x = 378.39

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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.