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Finding the Fourth Proportional to 215.09, 294.27 and 214.18

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Solution

The fourth proportional to 215.09, 294.27 and 214.18 is: 293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.09 : 294.27 = 214.18 : x
  2. Step 2: Convert to fraction form
    215.09/294.27 = 214.18/x
  3. Step 3: Cross multiply
    215.09x = 294.27 × 214.18
  4. Step 4: Simplify right side
    215.09x = 63,026.75
  5. Step 5: Solve for x
    x = 63,026.75/215.09
  6. Step 6: Final answer
    x = 293.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.