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Finding the Fourth Proportional to 321.42, 482.14 and 105.02

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Solution

The fourth proportional to 321.42, 482.14 and 105.02 is: 157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.42 : 482.14 = 105.02 : x
  2. Step 2: Convert to fraction form
    321.42/482.14 = 105.02/x
  3. Step 3: Cross multiply
    321.42x = 482.14 × 105.02
  4. Step 4: Simplify right side
    321.42x = 50,634.34
  5. Step 5: Solve for x
    x = 50,634.34/321.42
  6. Step 6: Final answer
    x = 157.53

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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.