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Finding the Fourth Proportional to 307, 460.32 and 144.79

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Solution

The fourth proportional to 307, 460.32 and 144.79 is: 217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307 : 460.32 = 144.79 : x
  2. Step 2: Convert to fraction form
    307/460.32 = 144.79/x
  3. Step 3: Cross multiply
    307x = 460.32 × 144.79
  4. Step 4: Simplify right side
    307x = 66,649.73
  5. Step 5: Solve for x
    x = 66,649.73/307
  6. Step 6: Final answer
    x = 217.10

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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.