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Finding the Fourth Proportional to 307.15, 460.59 and 144.73

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Solution

The fourth proportional to 307.15, 460.59 and 144.73 is: 217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.15 : 460.59 = 144.73 : x
  2. Step 2: Convert to fraction form
    307.15/460.59 = 144.73/x
  3. Step 3: Cross multiply
    307.15x = 460.59 × 144.73
  4. Step 4: Simplify right side
    307.15x = 66,661.19
  5. Step 5: Solve for x
    x = 66,661.19/307.15
  6. Step 6: Final answer
    x = 217.03

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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.