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Finding the Fourth Proportional to 321.56, 482.34 and 147.71

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Solution

The fourth proportional to 321.56, 482.34 and 147.71 is: 221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.56 : 482.34 = 147.71 : x
  2. Step 2: Convert to fraction form
    321.56/482.34 = 147.71/x
  3. Step 3: Cross multiply
    321.56x = 482.34 × 147.71
  4. Step 4: Simplify right side
    321.56x = 71,244.58
  5. Step 5: Solve for x
    x = 71,244.58/321.56
  6. Step 6: Final answer
    x = 221.56

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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.