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Finding the Fourth Proportional to 255.87, 383.82 and 111.60

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Solution

The fourth proportional to 255.87, 383.82 and 111.60 is: 167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.87 : 383.82 = 111.60 : x
  2. Step 2: Convert to fraction form
    255.87/383.82 = 111.60/x
  3. Step 3: Cross multiply
    255.87x = 383.82 × 111.60
  4. Step 4: Simplify right side
    255.87x = 42,834.31
  5. Step 5: Solve for x
    x = 42,834.31/255.87
  6. Step 6: Final answer
    x = 167.41

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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.