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Finding the Fourth Proportional to 321.19, 442.99 and 232.69

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Solution

The fourth proportional to 321.19, 442.99 and 232.69 is: 320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.19 : 442.99 = 232.69 : x
  2. Step 2: Convert to fraction form
    321.19/442.99 = 232.69/x
  3. Step 3: Cross multiply
    321.19x = 442.99 × 232.69
  4. Step 4: Simplify right side
    321.19x = 103,079.34
  5. Step 5: Solve for x
    x = 103,079.34/321.19
  6. Step 6: Final answer
    x = 320.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.