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Finding the Fourth Proportional to 255.64, 383.42 and 84.64

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Solution

The fourth proportional to 255.64, 383.42 and 84.64 is: 126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.64 : 383.42 = 84.64 : x
  2. Step 2: Convert to fraction form
    255.64/383.42 = 84.64/x
  3. Step 3: Cross multiply
    255.64x = 383.42 × 84.64
  4. Step 4: Simplify right side
    255.64x = 32,452.67
  5. Step 5: Solve for x
    x = 32,452.67/255.64
  6. Step 6: Final answer
    x = 126.95

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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.