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Finding the Fourth Proportional to 321.56, 482.29 and 105.11

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Solution

The fourth proportional to 321.56, 482.29 and 105.11 is: 157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.56 : 482.29 = 105.11 : x
  2. Step 2: Convert to fraction form
    321.56/482.29 = 105.11/x
  3. Step 3: Cross multiply
    321.56x = 482.29 × 105.11
  4. Step 4: Simplify right side
    321.56x = 50,690.83
  5. Step 5: Solve for x
    x = 50,690.83/321.56
  6. Step 6: Final answer
    x = 157.64

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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.