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Finding the Fourth Proportional to 482.01, 664.98 and 304.89

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Solution

The fourth proportional to 482.01, 664.98 and 304.89 is: 420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.01 : 664.98 = 304.89 : x
  2. Step 2: Convert to fraction form
    482.01/664.98 = 304.89/x
  3. Step 3: Cross multiply
    482.01x = 664.98 × 304.89
  4. Step 4: Simplify right side
    482.01x = 202,745.75
  5. Step 5: Solve for x
    x = 202,745.75/482.01
  6. Step 6: Final answer
    x = 420.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.