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Finding the Fourth Proportional to 333.69, 461.30 and 303.31

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Solution

The fourth proportional to 333.69, 461.30 and 303.31 is: 419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.69 : 461.30 = 303.31 : x
  2. Step 2: Convert to fraction form
    333.69/461.30 = 303.31/x
  3. Step 3: Cross multiply
    333.69x = 461.30 × 303.31
  4. Step 4: Simplify right side
    333.69x = 139,915.96
  5. Step 5: Solve for x
    x = 139,915.96/333.69
  6. Step 6: Final answer
    x = 419.30

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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.