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Finding the Fourth Proportional to 321.61, 482.43 and 126.61

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Solution

The fourth proportional to 321.61, 482.43 and 126.61 is: 189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.61 : 482.43 = 126.61 : x
  2. Step 2: Convert to fraction form
    321.61/482.43 = 126.61/x
  3. Step 3: Cross multiply
    321.61x = 482.43 × 126.61
  4. Step 4: Simplify right side
    321.61x = 61,080.46
  5. Step 5: Solve for x
    x = 61,080.46/321.61
  6. Step 6: Final answer
    x = 189.92

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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.