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Finding the Fourth Proportional to 270.27, 403.16 and 253.26

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Solution

The fourth proportional to 270.27, 403.16 and 253.26 is: 377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.27 : 403.16 = 253.26 : x
  2. Step 2: Convert to fraction form
    270.27/403.16 = 253.26/x
  3. Step 3: Cross multiply
    270.27x = 403.16 × 253.26
  4. Step 4: Simplify right side
    270.27x = 102,103.04
  5. Step 5: Solve for x
    x = 102,103.04/270.27
  6. Step 6: Final answer
    x = 377.78

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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.