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Finding the Fourth Proportional to 255.02, 383.00 and 163.89

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Solution

The fourth proportional to 255.02, 383.00 and 163.89 is: 246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.02 : 383.00 = 163.89 : x
  2. Step 2: Convert to fraction form
    255.02/383.00 = 163.89/x
  3. Step 3: Cross multiply
    255.02x = 383.00 × 163.89
  4. Step 4: Simplify right side
    255.02x = 62,769.05
  5. Step 5: Solve for x
    x = 62,769.05/255.02
  6. Step 6: Final answer
    x = 246.14

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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.