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Finding the Fourth Proportional to 441.32, 608.72 and 301.21

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Solution

The fourth proportional to 441.32, 608.72 and 301.21 is: 415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.32 : 608.72 = 301.21 : x
  2. Step 2: Convert to fraction form
    441.32/608.72 = 301.21/x
  3. Step 3: Cross multiply
    441.32x = 608.72 × 301.21
  4. Step 4: Simplify right side
    441.32x = 183,349.52
  5. Step 5: Solve for x
    x = 183,349.52/441.32
  6. Step 6: Final answer
    x = 415.46

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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.