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Finding the Fourth Proportional to 448.02, 618.33 and 374.22

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Solution

The fourth proportional to 448.02, 618.33 and 374.22 is: 516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.02 : 618.33 = 374.22 : x
  2. Step 2: Convert to fraction form
    448.02/618.33 = 374.22/x
  3. Step 3: Cross multiply
    448.02x = 618.33 × 374.22
  4. Step 4: Simplify right side
    448.02x = 231,391.45
  5. Step 5: Solve for x
    x = 231,391.45/448.02
  6. Step 6: Final answer
    x = 516.48

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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.