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Finding the Fourth Proportional to 441, 661.68 and 210.36

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Solution

The fourth proportional to 441, 661.68 and 210.36 is: 315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    441 : 661.68 = 210.36 : x
  2. Step 2: Convert to fraction form
    441/661.68 = 210.36/x
  3. Step 3: Cross multiply
    441x = 661.68 × 210.36
  4. Step 4: Simplify right side
    441x = 139,191.00
  5. Step 5: Solve for x
    x = 139,191.00/441
  6. Step 6: Final answer
    x = 315.63

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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.