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Finding the Fourth Proportional to 299.23, 412.85 and 194.32

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Solution

The fourth proportional to 299.23, 412.85 and 194.32 is: 268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.23 : 412.85 = 194.32 : x
  2. Step 2: Convert to fraction form
    299.23/412.85 = 194.32/x
  3. Step 3: Cross multiply
    299.23x = 412.85 × 194.32
  4. Step 4: Simplify right side
    299.23x = 80,225.01
  5. Step 5: Solve for x
    x = 80,225.01/299.23
  6. Step 6: Final answer
    x = 268.10

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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.