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Finding the Fourth Proportional to 324.28, 484.10 and 312.89

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Solution

The fourth proportional to 324.28, 484.10 and 312.89 is: 467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.28 : 484.10 = 312.89 : x
  2. Step 2: Convert to fraction form
    324.28/484.10 = 312.89/x
  3. Step 3: Cross multiply
    324.28x = 484.10 × 312.89
  4. Step 4: Simplify right side
    324.28x = 151,469.00
  5. Step 5: Solve for x
    x = 151,469.00/324.28
  6. Step 6: Final answer
    x = 467.10

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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.