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Finding the Fourth Proportional to 441.50, 609 and 294.08

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Solution

The fourth proportional to 441.50, 609 and 294.08 is: 405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.50 : 609 = 294.08 : x
  2. Step 2: Convert to fraction form
    441.50/609 = 294.08/x
  3. Step 3: Cross multiply
    441.50x = 609 × 294.08
  4. Step 4: Simplify right side
    441.50x = 179,094.72
  5. Step 5: Solve for x
    x = 179,094.72/441.50
  6. Step 6: Final answer
    x = 405.65

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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.