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Finding the Fourth Proportional to 448.04, 671.62 and 213.37

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Solution

The fourth proportional to 448.04, 671.62 and 213.37 is: 319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.04 : 671.62 = 213.37 : x
  2. Step 2: Convert to fraction form
    448.04/671.62 = 213.37/x
  3. Step 3: Cross multiply
    448.04x = 671.62 × 213.37
  4. Step 4: Simplify right side
    448.04x = 143,303.56
  5. Step 5: Solve for x
    x = 143,303.56/448.04
  6. Step 6: Final answer
    x = 319.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.