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Finding the Fourth Proportional to 255.95, 383.71 and 111.56

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Solution

The fourth proportional to 255.95, 383.71 and 111.56 is: 167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.95 : 383.71 = 111.56 : x
  2. Step 2: Convert to fraction form
    255.95/383.71 = 111.56/x
  3. Step 3: Cross multiply
    255.95x = 383.71 × 111.56
  4. Step 4: Simplify right side
    255.95x = 42,806.69
  5. Step 5: Solve for x
    x = 42,806.69/255.95
  6. Step 6: Final answer
    x = 167.25

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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.