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Finding the Fourth Proportional to 298.55, 449.57 and 260.48

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Solution

The fourth proportional to 298.55, 449.57 and 260.48 is: 392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.55 : 449.57 = 260.48 : x
  2. Step 2: Convert to fraction form
    298.55/449.57 = 260.48/x
  3. Step 3: Cross multiply
    298.55x = 449.57 × 260.48
  4. Step 4: Simplify right side
    298.55x = 117,105.12
  5. Step 5: Solve for x
    x = 117,105.12/298.55
  6. Step 6: Final answer
    x = 392.25

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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.