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Finding the Fourth Proportional to 255.42, 383.19 and 118.56

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Solution

The fourth proportional to 255.42, 383.19 and 118.56 is: 177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.42 : 383.19 = 118.56 : x
  2. Step 2: Convert to fraction form
    255.42/383.19 = 118.56/x
  3. Step 3: Cross multiply
    255.42x = 383.19 × 118.56
  4. Step 4: Simplify right side
    255.42x = 45,431.01
  5. Step 5: Solve for x
    x = 45,431.01/255.42
  6. Step 6: Final answer
    x = 177.87

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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.