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Finding the Fourth Proportional to 215.94, 297.29 and 194.07

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Solution

The fourth proportional to 215.94, 297.29 and 194.07 is: 267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.94 : 297.29 = 194.07 : x
  2. Step 2: Convert to fraction form
    215.94/297.29 = 194.07/x
  3. Step 3: Cross multiply
    215.94x = 297.29 × 194.07
  4. Step 4: Simplify right side
    215.94x = 57,694.10
  5. Step 5: Solve for x
    x = 57,694.10/215.94
  6. Step 6: Final answer
    x = 267.18

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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.