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Finding the Fourth Proportional to 441.94, 661.95 and 319.94

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Solution

The fourth proportional to 441.94, 661.95 and 319.94 is: 479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.94 : 661.95 = 319.94 : x
  2. Step 2: Convert to fraction form
    441.94/661.95 = 319.94/x
  3. Step 3: Cross multiply
    441.94x = 661.95 × 319.94
  4. Step 4: Simplify right side
    441.94x = 211,784.28
  5. Step 5: Solve for x
    x = 211,784.28/441.94
  6. Step 6: Final answer
    x = 479.22

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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.