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Finding the Fourth Proportional to 400.21, 602.62 and 298.21

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Solution

The fourth proportional to 400.21, 602.62 and 298.21 is: 449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.21 : 602.62 = 298.21 : x
  2. Step 2: Convert to fraction form
    400.21/602.62 = 298.21/x
  3. Step 3: Cross multiply
    400.21x = 602.62 × 298.21
  4. Step 4: Simplify right side
    400.21x = 179,707.31
  5. Step 5: Solve for x
    x = 179,707.31/400.21
  6. Step 6: Final answer
    x = 449.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.