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Finding the Fourth Proportional to 306.22, 458.85 and 143.71

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Solution

The fourth proportional to 306.22, 458.85 and 143.71 is: 215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.22 : 458.85 = 143.71 : x
  2. Step 2: Convert to fraction form
    306.22/458.85 = 143.71/x
  3. Step 3: Cross multiply
    306.22x = 458.85 × 143.71
  4. Step 4: Simplify right side
    306.22x = 65,940.76
  5. Step 5: Solve for x
    x = 65,940.76/306.22
  6. Step 6: Final answer
    x = 215.34

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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.