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Finding the Fourth Proportional to 275.40, 414.92 and 253.26

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Solution

The fourth proportional to 275.40, 414.92 and 253.26 is: 381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.40 : 414.92 = 253.26 : x
  2. Step 2: Convert to fraction form
    275.40/414.92 = 253.26/x
  3. Step 3: Cross multiply
    275.40x = 414.92 × 253.26
  4. Step 4: Simplify right side
    275.40x = 105,083.27
  5. Step 5: Solve for x
    x = 105,083.27/275.40
  6. Step 6: Final answer
    x = 381.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.