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Finding the Fourth Proportional to 321.93, 442.94 and 288.59

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Solution

The fourth proportional to 321.93, 442.94 and 288.59 is: 397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.93 : 442.94 = 288.59 : x
  2. Step 2: Convert to fraction form
    321.93/442.94 = 288.59/x
  3. Step 3: Cross multiply
    321.93x = 442.94 × 288.59
  4. Step 4: Simplify right side
    321.93x = 127,824.40
  5. Step 5: Solve for x
    x = 127,824.40/321.93
  6. Step 6: Final answer
    x = 397.06

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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.