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Finding the Fourth Proportional to 448.52, 618.92 and 252.06

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Solution

The fourth proportional to 448.52, 618.92 and 252.06 is: 347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.52 : 618.92 = 252.06 : x
  2. Step 2: Convert to fraction form
    448.52/618.92 = 252.06/x
  3. Step 3: Cross multiply
    448.52x = 618.92 × 252.06
  4. Step 4: Simplify right side
    448.52x = 156,004.98
  5. Step 5: Solve for x
    x = 156,004.98/448.52
  6. Step 6: Final answer
    x = 347.82

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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.