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Finding the Fourth Proportional to 281.63, 421.77 and 137

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Solution

The fourth proportional to 281.63, 421.77 and 137 is: 205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.63 : 421.77 = 137 : x
  2. Step 2: Convert to fraction form
    281.63/421.77 = 137/x
  3. Step 3: Cross multiply
    281.63x = 421.77 × 137
  4. Step 4: Simplify right side
    281.63x = 57,782.49
  5. Step 5: Solve for x
    x = 57,782.49/281.63
  6. Step 6: Final answer
    x = 205.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.