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Finding the Fourth Proportional to 319.71, 440.31 and 297.03

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Solution

The fourth proportional to 319.71, 440.31 and 297.03 is: 409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.71 : 440.31 = 297.03 : x
  2. Step 2: Convert to fraction form
    319.71/440.31 = 297.03/x
  3. Step 3: Cross multiply
    319.71x = 440.31 × 297.03
  4. Step 4: Simplify right side
    319.71x = 130,785.28
  5. Step 5: Solve for x
    x = 130,785.28/319.71
  6. Step 6: Final answer
    x = 409.07

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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.