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Finding the Fourth Proportional to 448.12, 618.52 and 282.38

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Solution

The fourth proportional to 448.12, 618.52 and 282.38 is: 389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.12 : 618.52 = 282.38 : x
  2. Step 2: Convert to fraction form
    448.12/618.52 = 282.38/x
  3. Step 3: Cross multiply
    448.12x = 618.52 × 282.38
  4. Step 4: Simplify right side
    448.12x = 174,657.68
  5. Step 5: Solve for x
    x = 174,657.68/448.12
  6. Step 6: Final answer
    x = 389.76

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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.