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Finding the Fourth Proportional to 350.65, 523.40 and 310.12

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Solution

The fourth proportional to 350.65, 523.40 and 310.12 is: 462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.65 : 523.40 = 310.12 : x
  2. Step 2: Convert to fraction form
    350.65/523.40 = 310.12/x
  3. Step 3: Cross multiply
    350.65x = 523.40 × 310.12
  4. Step 4: Simplify right side
    350.65x = 162,316.81
  5. Step 5: Solve for x
    x = 162,316.81/350.65
  6. Step 6: Final answer
    x = 462.90

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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.