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Finding the Fourth Proportional to 319.78, 444.82 and 313.84

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Solution

The fourth proportional to 319.78, 444.82 and 313.84 is: 436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.78 : 444.82 = 313.84 : x
  2. Step 2: Convert to fraction form
    319.78/444.82 = 313.84/x
  3. Step 3: Cross multiply
    319.78x = 444.82 × 313.84
  4. Step 4: Simplify right side
    319.78x = 139,602.31
  5. Step 5: Solve for x
    x = 139,602.31/319.78
  6. Step 6: Final answer
    x = 436.56

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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.