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Finding the Fourth Proportional to 350.70, 523.93 and 310.56

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Solution

The fourth proportional to 350.70, 523.93 and 310.56 is: 463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.70 : 523.93 = 310.56 : x
  2. Step 2: Convert to fraction form
    350.70/523.93 = 310.56/x
  3. Step 3: Cross multiply
    350.70x = 523.93 × 310.56
  4. Step 4: Simplify right side
    350.70x = 162,711.70
  5. Step 5: Solve for x
    x = 162,711.70/350.70
  6. Step 6: Final answer
    x = 463.96

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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.