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Finding the Fourth Proportional to 267.71, 369.36 and 215.26

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Solution

The fourth proportional to 267.71, 369.36 and 215.26 is: 297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.71 : 369.36 = 215.26 : x
  2. Step 2: Convert to fraction form
    267.71/369.36 = 215.26/x
  3. Step 3: Cross multiply
    267.71x = 369.36 × 215.26
  4. Step 4: Simplify right side
    267.71x = 79,507.51
  5. Step 5: Solve for x
    x = 79,507.51/267.71
  6. Step 6: Final answer
    x = 297.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.