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Finding the Fourth Proportional to 321.69, 482.30 and 154.72

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Solution

The fourth proportional to 321.69, 482.30 and 154.72 is: 231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.69 : 482.30 = 154.72 : x
  2. Step 2: Convert to fraction form
    321.69/482.30 = 154.72/x
  3. Step 3: Cross multiply
    321.69x = 482.30 × 154.72
  4. Step 4: Simplify right side
    321.69x = 74,621.46
  5. Step 5: Solve for x
    x = 74,621.46/321.69
  6. Step 6: Final answer
    x = 231.97

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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.