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Finding the Fourth Proportional to 441.80, 609.89 and 302.15

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Solution

The fourth proportional to 441.80, 609.89 and 302.15 is: 417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.80 : 609.89 = 302.15 : x
  2. Step 2: Convert to fraction form
    441.80/609.89 = 302.15/x
  3. Step 3: Cross multiply
    441.80x = 609.89 × 302.15
  4. Step 4: Simplify right side
    441.80x = 184,273.70
  5. Step 5: Solve for x
    x = 184,273.70/441.80
  6. Step 6: Final answer
    x = 417.10

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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.