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Finding the Fourth Proportional to 307.90, 461.92 and 91.47

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Solution

The fourth proportional to 307.90, 461.92 and 91.47 is: 137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.90 : 461.92 = 91.47 : x
  2. Step 2: Convert to fraction form
    307.90/461.92 = 91.47/x
  3. Step 3: Cross multiply
    307.90x = 461.92 × 91.47
  4. Step 4: Simplify right side
    307.90x = 42,252.75
  5. Step 5: Solve for x
    x = 42,252.75/307.90
  6. Step 6: Final answer
    x = 137.23

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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.