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Finding the Fourth Proportional to 281.06, 421.39 and 144.01

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Solution

The fourth proportional to 281.06, 421.39 and 144.01 is: 215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.06 : 421.39 = 144.01 : x
  2. Step 2: Convert to fraction form
    281.06/421.39 = 144.01/x
  3. Step 3: Cross multiply
    281.06x = 421.39 × 144.01
  4. Step 4: Simplify right side
    281.06x = 60,681.55
  5. Step 5: Solve for x
    x = 60,681.55/281.06
  6. Step 6: Final answer
    x = 215.91

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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.