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Finding the Fourth Proportional to 307.85, 462.02 and 143.39

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Solution

The fourth proportional to 307.85, 462.02 and 143.39 is: 215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.85 : 462.02 = 143.39 : x
  2. Step 2: Convert to fraction form
    307.85/462.02 = 143.39/x
  3. Step 3: Cross multiply
    307.85x = 462.02 × 143.39
  4. Step 4: Simplify right side
    307.85x = 66,249.04
  5. Step 5: Solve for x
    x = 66,249.04/307.85
  6. Step 6: Final answer
    x = 215.20

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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.