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Finding the Fourth Proportional to 310.70, 429.21 and 248.45

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Solution

The fourth proportional to 310.70, 429.21 and 248.45 is: 343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.70 : 429.21 = 248.45 : x
  2. Step 2: Convert to fraction form
    310.70/429.21 = 248.45/x
  3. Step 3: Cross multiply
    310.70x = 429.21 × 248.45
  4. Step 4: Simplify right side
    310.70x = 106,635.08
  5. Step 5: Solve for x
    x = 106,635.08/310.70
  6. Step 6: Final answer
    x = 343.21

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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.