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Finding the Fourth Proportional to 459.28, 633.74 and 282.27

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Solution

The fourth proportional to 459.28, 633.74 and 282.27 is: 389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.28 : 633.74 = 282.27 : x
  2. Step 2: Convert to fraction form
    459.28/633.74 = 282.27/x
  3. Step 3: Cross multiply
    459.28x = 633.74 × 282.27
  4. Step 4: Simplify right side
    459.28x = 178,884.38
  5. Step 5: Solve for x
    x = 178,884.38/459.28
  6. Step 6: Final answer
    x = 389.49

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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.