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Finding the Fourth Proportional to 427.22, 589.62 and 240.75

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Solution

The fourth proportional to 427.22, 589.62 and 240.75 is: 332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.22 : 589.62 = 240.75 : x
  2. Step 2: Convert to fraction form
    427.22/589.62 = 240.75/x
  3. Step 3: Cross multiply
    427.22x = 589.62 × 240.75
  4. Step 4: Simplify right side
    427.22x = 141,951.02
  5. Step 5: Solve for x
    x = 141,951.02/427.22
  6. Step 6: Final answer
    x = 332.27

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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.