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Finding the Fourth Proportional to 321.34, 482.01 and 253.23

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Solution

The fourth proportional to 321.34, 482.01 and 253.23 is: 379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.34 : 482.01 = 253.23 : x
  2. Step 2: Convert to fraction form
    321.34/482.01 = 253.23/x
  3. Step 3: Cross multiply
    321.34x = 482.01 × 253.23
  4. Step 4: Simplify right side
    321.34x = 122,059.39
  5. Step 5: Solve for x
    x = 122,059.39/321.34
  6. Step 6: Final answer
    x = 379.85

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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.