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Finding the Fourth Proportional to 308.41, 461.77 and 264.87

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Solution

The fourth proportional to 308.41, 461.77 and 264.87 is: 396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.41 : 461.77 = 264.87 : x
  2. Step 2: Convert to fraction form
    308.41/461.77 = 264.87/x
  3. Step 3: Cross multiply
    308.41x = 461.77 × 264.87
  4. Step 4: Simplify right side
    308.41x = 122,308.36
  5. Step 5: Solve for x
    x = 122,308.36/308.41
  6. Step 6: Final answer
    x = 396.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.