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Finding the Fourth Proportional to 441.72, 608.64 and 301.86

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Solution

The fourth proportional to 441.72, 608.64 and 301.86 is: 415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.72 : 608.64 = 301.86 : x
  2. Step 2: Convert to fraction form
    441.72/608.64 = 301.86/x
  3. Step 3: Cross multiply
    441.72x = 608.64 × 301.86
  4. Step 4: Simplify right side
    441.72x = 183,724.07
  5. Step 5: Solve for x
    x = 183,724.07/441.72
  6. Step 6: Final answer
    x = 415.93

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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.