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Finding the Fourth Proportional to 427.48, 589.92 and 240.96

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Solution

The fourth proportional to 427.48, 589.92 and 240.96 is: 332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.48 : 589.92 = 240.96 : x
  2. Step 2: Convert to fraction form
    427.48/589.92 = 240.96/x
  3. Step 3: Cross multiply
    427.48x = 589.92 × 240.96
  4. Step 4: Simplify right side
    427.48x = 142,147.12
  5. Step 5: Solve for x
    x = 142,147.12/427.48
  6. Step 6: Final answer
    x = 332.53

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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.