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Finding the Fourth Proportional to 281.01, 421.31 and 189.45

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Solution

The fourth proportional to 281.01, 421.31 and 189.45 is: 284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.01 : 421.31 = 189.45 : x
  2. Step 2: Convert to fraction form
    281.01/421.31 = 189.45/x
  3. Step 3: Cross multiply
    281.01x = 421.31 × 189.45
  4. Step 4: Simplify right side
    281.01x = 79,816.23
  5. Step 5: Solve for x
    x = 79,816.23/281.01
  6. Step 6: Final answer
    x = 284.03

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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.