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Finding the Fourth Proportional to 324.65, 484.67 and 313.26

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Solution

The fourth proportional to 324.65, 484.67 and 313.26 is: 467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.65 : 484.67 = 313.26 : x
  2. Step 2: Convert to fraction form
    324.65/484.67 = 313.26/x
  3. Step 3: Cross multiply
    324.65x = 484.67 × 313.26
  4. Step 4: Simplify right side
    324.65x = 151,826.16
  5. Step 5: Solve for x
    x = 151,826.16/324.65
  6. Step 6: Final answer
    x = 467.66

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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.