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Finding the Fourth Proportional to 448.86, 620.10 and 301.44

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Solution

The fourth proportional to 448.86, 620.10 and 301.44 is: 416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.86 : 620.10 = 301.44 : x
  2. Step 2: Convert to fraction form
    448.86/620.10 = 301.44/x
  3. Step 3: Cross multiply
    448.86x = 620.10 × 301.44
  4. Step 4: Simplify right side
    448.86x = 186,922.94
  5. Step 5: Solve for x
    x = 186,922.94/448.86
  6. Step 6: Final answer
    x = 416.44

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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.