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Finding the Fourth Proportional to 442.91, 663.21 and 260.21

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Solution

The fourth proportional to 442.91, 663.21 and 260.21 is: 389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.91 : 663.21 = 260.21 : x
  2. Step 2: Convert to fraction form
    442.91/663.21 = 260.21/x
  3. Step 3: Cross multiply
    442.91x = 663.21 × 260.21
  4. Step 4: Simplify right side
    442.91x = 172,570.56
  5. Step 5: Solve for x
    x = 172,570.56/442.91
  6. Step 6: Final answer
    x = 389.63

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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.