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Finding the Fourth Proportional to 255.50, 383.28 and 84.50

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Solution

The fourth proportional to 255.50, 383.28 and 84.50 is: 126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.50 : 383.28 = 84.50 : x
  2. Step 2: Convert to fraction form
    255.50/383.28 = 84.50/x
  3. Step 3: Cross multiply
    255.50x = 383.28 × 84.50
  4. Step 4: Simplify right side
    255.50x = 32,387.16
  5. Step 5: Solve for x
    x = 32,387.16/255.50
  6. Step 6: Final answer
    x = 126.76

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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.