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Finding the Fourth Proportional to 321.64, 482.42 and 105.19

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Solution

The fourth proportional to 321.64, 482.42 and 105.19 is: 157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.64 : 482.42 = 105.19 : x
  2. Step 2: Convert to fraction form
    321.64/482.42 = 105.19/x
  3. Step 3: Cross multiply
    321.64x = 482.42 × 105.19
  4. Step 4: Simplify right side
    321.64x = 50,744.82
  5. Step 5: Solve for x
    x = 50,744.82/321.64
  6. Step 6: Final answer
    x = 157.77

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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.