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Finding the Fourth Proportional to 448.59, 618.78 and 349.09

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Solution

The fourth proportional to 448.59, 618.78 and 349.09 is: 481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.59 : 618.78 = 349.09 : x
  2. Step 2: Convert to fraction form
    448.59/618.78 = 349.09/x
  3. Step 3: Cross multiply
    448.59x = 618.78 × 349.09
  4. Step 4: Simplify right side
    448.59x = 216,009.91
  5. Step 5: Solve for x
    x = 216,009.91/448.59
  6. Step 6: Final answer
    x = 481.53

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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.