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Finding the Fourth Proportional to 321.56, 482 and 138.77

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Solution

The fourth proportional to 321.56, 482 and 138.77 is: 208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.56 : 482 = 138.77 : x
  2. Step 2: Convert to fraction form
    321.56/482 = 138.77/x
  3. Step 3: Cross multiply
    321.56x = 482 × 138.77
  4. Step 4: Simplify right side
    321.56x = 66,887.14
  5. Step 5: Solve for x
    x = 66,887.14/321.56
  6. Step 6: Final answer
    x = 208.01

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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.