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Finding the Fourth Proportional to 307.39, 461.09 and 90.98

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Solution

The fourth proportional to 307.39, 461.09 and 90.98 is: 136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.39 : 461.09 = 90.98 : x
  2. Step 2: Convert to fraction form
    307.39/461.09 = 90.98/x
  3. Step 3: Cross multiply
    307.39x = 461.09 × 90.98
  4. Step 4: Simplify right side
    307.39x = 41,949.97
  5. Step 5: Solve for x
    x = 41,949.97/307.39
  6. Step 6: Final answer
    x = 136.47

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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.