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Finding the Fourth Proportional to 482, 664.80 and 305.06

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Solution

The fourth proportional to 482, 664.80 and 305.06 is: 420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    482 : 664.80 = 305.06 : x
  2. Step 2: Convert to fraction form
    482/664.80 = 305.06/x
  3. Step 3: Cross multiply
    482x = 664.80 × 305.06
  4. Step 4: Simplify right side
    482x = 202,803.89
  5. Step 5: Solve for x
    x = 202,803.89/482
  6. Step 6: Final answer
    x = 420.75

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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.