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Finding the Fourth Proportional to 310.98, 429.23 and 212.87

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Solution

The fourth proportional to 310.98, 429.23 and 212.87 is: 293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.98 : 429.23 = 212.87 : x
  2. Step 2: Convert to fraction form
    310.98/429.23 = 212.87/x
  3. Step 3: Cross multiply
    310.98x = 429.23 × 212.87
  4. Step 4: Simplify right side
    310.98x = 91,370.19
  5. Step 5: Solve for x
    x = 91,370.19/310.98
  6. Step 6: Final answer
    x = 293.81

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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.