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Finding the Fourth Proportional to 214.09, 292.91 and 213.18

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Solution

The fourth proportional to 214.09, 292.91 and 213.18 is: 291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.09 : 292.91 = 213.18 : x
  2. Step 2: Convert to fraction form
    214.09/292.91 = 213.18/x
  3. Step 3: Cross multiply
    214.09x = 292.91 × 213.18
  4. Step 4: Simplify right side
    214.09x = 62,441.49
  5. Step 5: Solve for x
    x = 62,441.49/214.09
  6. Step 6: Final answer
    x = 291.66

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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.