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Finding the Fourth Proportional to 367.54, 506.55 and 256.77

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Solution

The fourth proportional to 367.54, 506.55 and 256.77 is: 353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.54 : 506.55 = 256.77 : x
  2. Step 2: Convert to fraction form
    367.54/506.55 = 256.77/x
  3. Step 3: Cross multiply
    367.54x = 506.55 × 256.77
  4. Step 4: Simplify right side
    367.54x = 130,067.81
  5. Step 5: Solve for x
    x = 130,067.81/367.54
  6. Step 6: Final answer
    x = 353.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.