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Finding the Fourth Proportional to 505.42, 756.37 and 310.33

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Solution

The fourth proportional to 505.42, 756.37 and 310.33 is: 464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.42 : 756.37 = 310.33 : x
  2. Step 2: Convert to fraction form
    505.42/756.37 = 310.33/x
  3. Step 3: Cross multiply
    505.42x = 756.37 × 310.33
  4. Step 4: Simplify right side
    505.42x = 234,724.30
  5. Step 5: Solve for x
    x = 234,724.30/505.42
  6. Step 6: Final answer
    x = 464.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.