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Finding the Fourth Proportional to 319, 440.31 and 282.28

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Solution

The fourth proportional to 319, 440.31 and 282.28 is: 389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319 : 440.31 = 282.28 : x
  2. Step 2: Convert to fraction form
    319/440.31 = 282.28/x
  3. Step 3: Cross multiply
    319x = 440.31 × 282.28
  4. Step 4: Simplify right side
    319x = 124,290.71
  5. Step 5: Solve for x
    x = 124,290.71/319
  6. Step 6: Final answer
    x = 389.63

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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.