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Finding the Fourth Proportional to 319.30, 440.81 and 214.54

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Solution

The fourth proportional to 319.30, 440.81 and 214.54 is: 296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.30 : 440.81 = 214.54 : x
  2. Step 2: Convert to fraction form
    319.30/440.81 = 214.54/x
  3. Step 3: Cross multiply
    319.30x = 440.81 × 214.54
  4. Step 4: Simplify right side
    319.30x = 94,571.38
  5. Step 5: Solve for x
    x = 94,571.38/319.30
  6. Step 6: Final answer
    x = 296.18

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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.