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Finding the Fourth Proportional to 321.58, 482.33 and 126.54

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Solution

The fourth proportional to 321.58, 482.33 and 126.54 is: 189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.58 : 482.33 = 126.54 : x
  2. Step 2: Convert to fraction form
    321.58/482.33 = 126.54/x
  3. Step 3: Cross multiply
    321.58x = 482.33 × 126.54
  4. Step 4: Simplify right side
    321.58x = 61,034.35
  5. Step 5: Solve for x
    x = 61,034.35/321.58
  6. Step 6: Final answer
    x = 189.80

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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.