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Finding the Fourth Proportional to 298.99, 450.23 and 260.92

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Solution

The fourth proportional to 298.99, 450.23 and 260.92 is: 392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.99 : 450.23 = 260.92 : x
  2. Step 2: Convert to fraction form
    298.99/450.23 = 260.92/x
  3. Step 3: Cross multiply
    298.99x = 450.23 × 260.92
  4. Step 4: Simplify right side
    298.99x = 117,474.01
  5. Step 5: Solve for x
    x = 117,474.01/298.99
  6. Step 6: Final answer
    x = 392.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.