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Finding the Fourth Proportional to 215.08, 319.91 and 214.39

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Solution

The fourth proportional to 215.08, 319.91 and 214.39 is: 318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.08 : 319.91 = 214.39 : x
  2. Step 2: Convert to fraction form
    215.08/319.91 = 214.39/x
  3. Step 3: Cross multiply
    215.08x = 319.91 × 214.39
  4. Step 4: Simplify right side
    215.08x = 68,585.50
  5. Step 5: Solve for x
    x = 68,585.50/215.08
  6. Step 6: Final answer
    x = 318.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.