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Finding the Fourth Proportional to 448.14, 618.80 and 381.09

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Solution

The fourth proportional to 448.14, 618.80 and 381.09 is: 526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.14 : 618.80 = 381.09 : x
  2. Step 2: Convert to fraction form
    448.14/618.80 = 381.09/x
  3. Step 3: Cross multiply
    448.14x = 618.80 × 381.09
  4. Step 4: Simplify right side
    448.14x = 235,818.49
  5. Step 5: Solve for x
    x = 235,818.49/448.14
  6. Step 6: Final answer
    x = 526.22

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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.