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Finding the Fourth Proportional to 448.42, 618.60 and 338.05

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Solution

The fourth proportional to 448.42, 618.60 and 338.05 is: 466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.42 : 618.60 = 338.05 : x
  2. Step 2: Convert to fraction form
    448.42/618.60 = 338.05/x
  3. Step 3: Cross multiply
    448.42x = 618.60 × 338.05
  4. Step 4: Simplify right side
    448.42x = 209,117.73
  5. Step 5: Solve for x
    x = 209,117.73/448.42
  6. Step 6: Final answer
    x = 466.34

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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.