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Finding the Fourth Proportional to 230.87, 346.32 and 185.51

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Solution

The fourth proportional to 230.87, 346.32 and 185.51 is: 278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.87 : 346.32 = 185.51 : x
  2. Step 2: Convert to fraction form
    230.87/346.32 = 185.51/x
  3. Step 3: Cross multiply
    230.87x = 346.32 × 185.51
  4. Step 4: Simplify right side
    230.87x = 64,246.69
  5. Step 5: Solve for x
    x = 64,246.69/230.87
  6. Step 6: Final answer
    x = 278.28

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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.