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Finding the Fourth Proportional to 310.98, 464.64 and 300.21

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Solution

The fourth proportional to 310.98, 464.64 and 300.21 is: 448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.98 : 464.64 = 300.21 : x
  2. Step 2: Convert to fraction form
    310.98/464.64 = 300.21/x
  3. Step 3: Cross multiply
    310.98x = 464.64 × 300.21
  4. Step 4: Simplify right side
    310.98x = 139,489.57
  5. Step 5: Solve for x
    x = 139,489.57/310.98
  6. Step 6: Final answer
    x = 448.55

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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.