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Finding the Fourth Proportional to 319.14, 442.26 and 314.28

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Solution

The fourth proportional to 319.14, 442.26 and 314.28 is: 435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.14 : 442.26 = 314.28 : x
  2. Step 2: Convert to fraction form
    319.14/442.26 = 314.28/x
  3. Step 3: Cross multiply
    319.14x = 442.26 × 314.28
  4. Step 4: Simplify right side
    319.14x = 138,993.47
  5. Step 5: Solve for x
    x = 138,993.47/319.14
  6. Step 6: Final answer
    x = 435.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.