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Finding the Fourth Proportional to 255.58, 381.31 and 253.76

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Solution

The fourth proportional to 255.58, 381.31 and 253.76 is: 378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.58 : 381.31 = 253.76 : x
  2. Step 2: Convert to fraction form
    255.58/381.31 = 253.76/x
  3. Step 3: Cross multiply
    255.58x = 381.31 × 253.76
  4. Step 4: Simplify right side
    255.58x = 96,758.68
  5. Step 5: Solve for x
    x = 96,758.68/255.58
  6. Step 6: Final answer
    x = 378.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.