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Finding the Fourth Proportional to 320.71, 444.31 and 313.15

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Solution

The fourth proportional to 320.71, 444.31 and 313.15 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.71 : 444.31 = 313.15 : x
  2. Step 2: Convert to fraction form
    320.71/444.31 = 313.15/x
  3. Step 3: Cross multiply
    320.71x = 444.31 × 313.15
  4. Step 4: Simplify right side
    320.71x = 139,135.68
  5. Step 5: Solve for x
    x = 139,135.68/320.71
  6. Step 6: Final answer
    x = 433.84

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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.