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Finding the Fourth Proportional to 448.02, 618.03 and 281.92

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Solution

The fourth proportional to 448.02, 618.03 and 281.92 is: 388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.02 : 618.03 = 281.92 : x
  2. Step 2: Convert to fraction form
    448.02/618.03 = 281.92/x
  3. Step 3: Cross multiply
    448.02x = 618.03 × 281.92
  4. Step 4: Simplify right side
    448.02x = 174,230.52
  5. Step 5: Solve for x
    x = 174,230.52/448.02
  6. Step 6: Final answer
    x = 388.89

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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.