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Finding the Fourth Proportional to 448.07, 618.23 and 282.22

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Solution

The fourth proportional to 448.07, 618.23 and 282.22 is: 389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.07 : 618.23 = 282.22 : x
  2. Step 2: Convert to fraction form
    448.07/618.23 = 282.22/x
  3. Step 3: Cross multiply
    448.07x = 618.23 × 282.22
  4. Step 4: Simplify right side
    448.07x = 174,476.03
  5. Step 5: Solve for x
    x = 174,476.03/448.07
  6. Step 6: Final answer
    x = 389.40

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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.