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Finding the Fourth Proportional to 307.73, 461.75 and 145.43

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Solution

The fourth proportional to 307.73, 461.75 and 145.43 is: 218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.73 : 461.75 = 145.43 : x
  2. Step 2: Convert to fraction form
    307.73/461.75 = 145.43/x
  3. Step 3: Cross multiply
    307.73x = 461.75 × 145.43
  4. Step 4: Simplify right side
    307.73x = 67,152.30
  5. Step 5: Solve for x
    x = 67,152.30/307.73
  6. Step 6: Final answer
    x = 218.22

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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.