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Finding the Fourth Proportional to 204.21, 281.68 and 148.77

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Solution

The fourth proportional to 204.21, 281.68 and 148.77 is: 205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.21 : 281.68 = 148.77 : x
  2. Step 2: Convert to fraction form
    204.21/281.68 = 148.77/x
  3. Step 3: Cross multiply
    204.21x = 281.68 × 148.77
  4. Step 4: Simplify right side
    204.21x = 41,905.16
  5. Step 5: Solve for x
    x = 41,905.16/204.21
  6. Step 6: Final answer
    x = 205.21

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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.