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Finding the Fourth Proportional to 320.25, 481.75 and 317.52

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Solution

The fourth proportional to 320.25, 481.75 and 317.52 is: 477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.25 : 481.75 = 317.52 : x
  2. Step 2: Convert to fraction form
    320.25/481.75 = 317.52/x
  3. Step 3: Cross multiply
    320.25x = 481.75 × 317.52
  4. Step 4: Simplify right side
    320.25x = 152,964.47
  5. Step 5: Solve for x
    x = 152,964.47/320.25
  6. Step 6: Final answer
    x = 477.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.