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Finding the Fourth Proportional to 255.34, 377.59 and 254.71

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Solution

The fourth proportional to 255.34, 377.59 and 254.71 is: 376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.34 : 377.59 = 254.71 : x
  2. Step 2: Convert to fraction form
    255.34/377.59 = 254.71/x
  3. Step 3: Cross multiply
    255.34x = 377.59 × 254.71
  4. Step 4: Simplify right side
    255.34x = 96,175.95
  5. Step 5: Solve for x
    x = 96,175.95/255.34
  6. Step 6: Final answer
    x = 376.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.