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Finding the Fourth Proportional to 320.97, 442.97 and 190.02

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Solution

The fourth proportional to 320.97, 442.97 and 190.02 is: 262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.97 : 442.97 = 190.02 : x
  2. Step 2: Convert to fraction form
    320.97/442.97 = 190.02/x
  3. Step 3: Cross multiply
    320.97x = 442.97 × 190.02
  4. Step 4: Simplify right side
    320.97x = 84,172.21
  5. Step 5: Solve for x
    x = 84,172.21/320.97
  6. Step 6: Final answer
    x = 262.24

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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.