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Finding the Fourth Proportional to 319.22, 440.34 and 214.40

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Solution

The fourth proportional to 319.22, 440.34 and 214.40 is: 295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.22 : 440.34 = 214.40 : x
  2. Step 2: Convert to fraction form
    319.22/440.34 = 214.40/x
  3. Step 3: Cross multiply
    319.22x = 440.34 × 214.40
  4. Step 4: Simplify right side
    319.22x = 94,408.90
  5. Step 5: Solve for x
    x = 94,408.90/319.22
  6. Step 6: Final answer
    x = 295.75

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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.