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Finding the Fourth Proportional to 324.18, 483.11 and 314.82

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Solution

The fourth proportional to 324.18, 483.11 and 314.82 is: 469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.18 : 483.11 = 314.82 : x
  2. Step 2: Convert to fraction form
    324.18/483.11 = 314.82/x
  3. Step 3: Cross multiply
    324.18x = 483.11 × 314.82
  4. Step 4: Simplify right side
    324.18x = 152,092.69
  5. Step 5: Solve for x
    x = 152,092.69/324.18
  6. Step 6: Final answer
    x = 469.16

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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.