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Finding the Fourth Proportional to 320.64, 445.60 and 317.12

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Solution

The fourth proportional to 320.64, 445.60 and 317.12 is: 440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.64 : 445.60 = 317.12 : x
  2. Step 2: Convert to fraction form
    320.64/445.60 = 317.12/x
  3. Step 3: Cross multiply
    320.64x = 445.60 × 317.12
  4. Step 4: Simplify right side
    320.64x = 141,308.67
  5. Step 5: Solve for x
    x = 141,308.67/320.64
  6. Step 6: Final answer
    x = 440.71

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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.