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Finding the Fourth Proportional to 299.60, 412.90 and 233.99

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Solution

The fourth proportional to 299.60, 412.90 and 233.99 is: 322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.60 : 412.90 = 233.99 : x
  2. Step 2: Convert to fraction form
    299.60/412.90 = 233.99/x
  3. Step 3: Cross multiply
    299.60x = 412.90 × 233.99
  4. Step 4: Simplify right side
    299.60x = 96,613.37
  5. Step 5: Solve for x
    x = 96,613.37/299.60
  6. Step 6: Final answer
    x = 322.48

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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.