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Finding the Fourth Proportional to 481.71, 665.01 and 307.38

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Solution

The fourth proportional to 481.71, 665.01 and 307.38 is: 424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.71 : 665.01 = 307.38 : x
  2. Step 2: Convert to fraction form
    481.71/665.01 = 307.38/x
  3. Step 3: Cross multiply
    481.71x = 665.01 × 307.38
  4. Step 4: Simplify right side
    481.71x = 204,410.77
  5. Step 5: Solve for x
    x = 204,410.77/481.71
  6. Step 6: Final answer
    x = 424.34

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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.