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Finding the Fourth Proportional to 307.96, 459.67 and 282.31

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Solution

The fourth proportional to 307.96, 459.67 and 282.31 is: 421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.96 : 459.67 = 282.31 : x
  2. Step 2: Convert to fraction form
    307.96/459.67 = 282.31/x
  3. Step 3: Cross multiply
    307.96x = 459.67 × 282.31
  4. Step 4: Simplify right side
    307.96x = 129,769.44
  5. Step 5: Solve for x
    x = 129,769.44/307.96
  6. Step 6: Final answer
    x = 421.38

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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.