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Finding the Fourth Proportional to 230.83, 346.42 and 185.72

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Solution

The fourth proportional to 230.83, 346.42 and 185.72 is: 278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.83 : 346.42 = 185.72 : x
  2. Step 2: Convert to fraction form
    230.83/346.42 = 185.72/x
  3. Step 3: Cross multiply
    230.83x = 346.42 × 185.72
  4. Step 4: Simplify right side
    230.83x = 64,338.07
  5. Step 5: Solve for x
    x = 64,338.07/230.83
  6. Step 6: Final answer
    x = 278.72

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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.