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Finding the Fourth Proportional to 255.00, 380.57 and 230.39

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Solution

The fourth proportional to 255.00, 380.57 and 230.39 is: 343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.00 : 380.57 = 230.39 : x
  2. Step 2: Convert to fraction form
    255.00/380.57 = 230.39/x
  3. Step 3: Cross multiply
    255.00x = 380.57 × 230.39
  4. Step 4: Simplify right side
    255.00x = 87,678.37
  5. Step 5: Solve for x
    x = 87,678.37/255.00
  6. Step 6: Final answer
    x = 343.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.