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Finding the Fourth Proportional to 442.99, 663.54 and 280.54

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Solution

The fourth proportional to 442.99, 663.54 and 280.54 is: 420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.99 : 663.54 = 280.54 : x
  2. Step 2: Convert to fraction form
    442.99/663.54 = 280.54/x
  3. Step 3: Cross multiply
    442.99x = 663.54 × 280.54
  4. Step 4: Simplify right side
    442.99x = 186,149.51
  5. Step 5: Solve for x
    x = 186,149.51/442.99
  6. Step 6: Final answer
    x = 420.21

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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.