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Finding the Fourth Proportional to 324.60, 484.32 and 317.22

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Solution

The fourth proportional to 324.60, 484.32 and 317.22 is: 473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.60 : 484.32 = 317.22 : x
  2. Step 2: Convert to fraction form
    324.60/484.32 = 317.22/x
  3. Step 3: Cross multiply
    324.60x = 484.32 × 317.22
  4. Step 4: Simplify right side
    324.60x = 153,635.99
  5. Step 5: Solve for x
    x = 153,635.99/324.60
  6. Step 6: Final answer
    x = 473.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.