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Finding the Fourth Proportional to 255.21, 352.19 and 138.77

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Solution

The fourth proportional to 255.21, 352.19 and 138.77 is: 191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.21 : 352.19 = 138.77 : x
  2. Step 2: Convert to fraction form
    255.21/352.19 = 138.77/x
  3. Step 3: Cross multiply
    255.21x = 352.19 × 138.77
  4. Step 4: Simplify right side
    255.21x = 48,872.71
  5. Step 5: Solve for x
    x = 48,872.71/255.21
  6. Step 6: Final answer
    x = 191.50

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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.