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Finding the Fourth Proportional to 310.37, 428.31 and 170.50

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Solution

The fourth proportional to 310.37, 428.31 and 170.50 is: 235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.37 : 428.31 = 170.50 : x
  2. Step 2: Convert to fraction form
    310.37/428.31 = 170.50/x
  3. Step 3: Cross multiply
    310.37x = 428.31 × 170.50
  4. Step 4: Simplify right side
    310.37x = 73,025.78
  5. Step 5: Solve for x
    x = 73,025.78/310.37
  6. Step 6: Final answer
    x = 235.28

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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.