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Finding the Fourth Proportional to 297.44, 444.04 and 280.16

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Solution

The fourth proportional to 297.44, 444.04 and 280.16 is: 418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.44 : 444.04 = 280.16 : x
  2. Step 2: Convert to fraction form
    297.44/444.04 = 280.16/x
  3. Step 3: Cross multiply
    297.44x = 444.04 × 280.16
  4. Step 4: Simplify right side
    297.44x = 124,402.25
  5. Step 5: Solve for x
    x = 124,402.25/297.44
  6. Step 6: Final answer
    x = 418.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.