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Finding the Fourth Proportional to 265.14, 396.02 and 253.40

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Solution

The fourth proportional to 265.14, 396.02 and 253.40 is: 378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.14 : 396.02 = 253.40 : x
  2. Step 2: Convert to fraction form
    265.14/396.02 = 253.40/x
  3. Step 3: Cross multiply
    265.14x = 396.02 × 253.40
  4. Step 4: Simplify right side
    265.14x = 100,350.12
  5. Step 5: Solve for x
    x = 100,350.12/265.14
  6. Step 6: Final answer
    x = 378.48

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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.