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Finding the Fourth Proportional to 308.98, 461.26 and 286.48

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Solution

The fourth proportional to 308.98, 461.26 and 286.48 is: 427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.98 : 461.26 = 286.48 : x
  2. Step 2: Convert to fraction form
    308.98/461.26 = 286.48/x
  3. Step 3: Cross multiply
    308.98x = 461.26 × 286.48
  4. Step 4: Simplify right side
    308.98x = 132,141.76
  5. Step 5: Solve for x
    x = 132,141.76/308.98
  6. Step 6: Final answer
    x = 427.67

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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.