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Finding the Fourth Proportional to 298.35, 449.76 and 278.53

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Solution

The fourth proportional to 298.35, 449.76 and 278.53 is: 419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.35 : 449.76 = 278.53 : x
  2. Step 2: Convert to fraction form
    298.35/449.76 = 278.53/x
  3. Step 3: Cross multiply
    298.35x = 449.76 × 278.53
  4. Step 4: Simplify right side
    298.35x = 125,271.65
  5. Step 5: Solve for x
    x = 125,271.65/298.35
  6. Step 6: Final answer
    x = 419.88

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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.