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Finding the Fourth Proportional to 320.52, 445.34 and 317.13

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Solution

The fourth proportional to 320.52, 445.34 and 317.13 is: 440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.52 : 445.34 = 317.13 : x
  2. Step 2: Convert to fraction form
    320.52/445.34 = 317.13/x
  3. Step 3: Cross multiply
    320.52x = 445.34 × 317.13
  4. Step 4: Simplify right side
    320.52x = 141,229.09
  5. Step 5: Solve for x
    x = 141,229.09/320.52
  6. Step 6: Final answer
    x = 440.62

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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.