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Finding the Fourth Proportional to 321.04, 482.10 and 212.77

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Solution

The fourth proportional to 321.04, 482.10 and 212.77 is: 319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.04 : 482.10 = 212.77 : x
  2. Step 2: Convert to fraction form
    321.04/482.10 = 212.77/x
  3. Step 3: Cross multiply
    321.04x = 482.10 × 212.77
  4. Step 4: Simplify right side
    321.04x = 102,576.42
  5. Step 5: Solve for x
    x = 102,576.42/321.04
  6. Step 6: Final answer
    x = 319.51

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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.