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Finding the Fourth Proportional to 319.12, 440.14 and 214.16

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Solution

The fourth proportional to 319.12, 440.14 and 214.16 is: 295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.12 : 440.14 = 214.16 : x
  2. Step 2: Convert to fraction form
    319.12/440.14 = 214.16/x
  3. Step 3: Cross multiply
    319.12x = 440.14 × 214.16
  4. Step 4: Simplify right side
    319.12x = 94,260.38
  5. Step 5: Solve for x
    x = 94,260.38/319.12
  6. Step 6: Final answer
    x = 295.38

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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.