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Finding the Fourth Proportional to 310.36, 428.28 and 193.90

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Solution

The fourth proportional to 310.36, 428.28 and 193.90 is: 267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.36 : 428.28 = 193.90 : x
  2. Step 2: Convert to fraction form
    310.36/428.28 = 193.90/x
  3. Step 3: Cross multiply
    310.36x = 428.28 × 193.90
  4. Step 4: Simplify right side
    310.36x = 83,043.49
  5. Step 5: Solve for x
    x = 83,043.49/310.36
  6. Step 6: Final answer
    x = 267.57

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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.