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Finding the Fourth Proportional to 324.71, 484.76 and 313.32

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Solution

The fourth proportional to 324.71, 484.76 and 313.32 is: 467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.71 : 484.76 = 313.32 : x
  2. Step 2: Convert to fraction form
    324.71/484.76 = 313.32/x
  3. Step 3: Cross multiply
    324.71x = 484.76 × 313.32
  4. Step 4: Simplify right side
    324.71x = 151,885.43
  5. Step 5: Solve for x
    x = 151,885.43/324.71
  6. Step 6: Final answer
    x = 467.75

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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.