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Finding the Fourth Proportional to 421.18, 576.22 and 419.36

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Solution

The fourth proportional to 421.18, 576.22 and 419.36 is: 573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.18 : 576.22 = 419.36 : x
  2. Step 2: Convert to fraction form
    421.18/576.22 = 419.36/x
  3. Step 3: Cross multiply
    421.18x = 576.22 × 419.36
  4. Step 4: Simplify right side
    421.18x = 241,643.62
  5. Step 5: Solve for x
    x = 241,643.62/421.18
  6. Step 6: Final answer
    x = 573.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.