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Finding the Fourth Proportional to 253.26, 381.51 and 215.64

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Solution

The fourth proportional to 253.26, 381.51 and 215.64 is: 324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.26 : 381.51 = 215.64 : x
  2. Step 2: Convert to fraction form
    253.26/381.51 = 215.64/x
  3. Step 3: Cross multiply
    253.26x = 381.51 × 215.64
  4. Step 4: Simplify right side
    253.26x = 82,268.82
  5. Step 5: Solve for x
    x = 82,268.82/253.26
  6. Step 6: Final answer
    x = 324.84

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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.