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Finding the Fourth Proportional to 324.86, 484.29 and 319.87

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Solution

The fourth proportional to 324.86, 484.29 and 319.87 is: 476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.86 : 484.29 = 319.87 : x
  2. Step 2: Convert to fraction form
    324.86/484.29 = 319.87/x
  3. Step 3: Cross multiply
    324.86x = 484.29 × 319.87
  4. Step 4: Simplify right side
    324.86x = 154,907.03
  5. Step 5: Solve for x
    x = 154,907.03/324.86
  6. Step 6: Final answer
    x = 476.84

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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.