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Finding the Fourth Proportional to 441.58, 609.02 and 301.55

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Solution

The fourth proportional to 441.58, 609.02 and 301.55 is: 415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.58 : 609.02 = 301.55 : x
  2. Step 2: Convert to fraction form
    441.58/609.02 = 301.55/x
  3. Step 3: Cross multiply
    441.58x = 609.02 × 301.55
  4. Step 4: Simplify right side
    441.58x = 183,649.98
  5. Step 5: Solve for x
    x = 183,649.98/441.58
  6. Step 6: Final answer
    x = 415.89

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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.