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Finding the Fourth Proportional to 319.62, 439.45 and 284.31

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Solution

The fourth proportional to 319.62, 439.45 and 284.31 is: 390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.62 : 439.45 = 284.31 : x
  2. Step 2: Convert to fraction form
    319.62/439.45 = 284.31/x
  3. Step 3: Cross multiply
    319.62x = 439.45 × 284.31
  4. Step 4: Simplify right side
    319.62x = 124,940.12
  5. Step 5: Solve for x
    x = 124,940.12/319.62
  6. Step 6: Final answer
    x = 390.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.