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Finding the Fourth Proportional to 230.61, 346.46 and 199.29

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Solution

The fourth proportional to 230.61, 346.46 and 199.29 is: 299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.61 : 346.46 = 199.29 : x
  2. Step 2: Convert to fraction form
    230.61/346.46 = 199.29/x
  3. Step 3: Cross multiply
    230.61x = 346.46 × 199.29
  4. Step 4: Simplify right side
    230.61x = 69,045.02
  5. Step 5: Solve for x
    x = 69,045.02/230.61
  6. Step 6: Final answer
    x = 299.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.