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Finding the Fourth Proportional to 338.82, 510.18 and 298.68

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Solution

The fourth proportional to 338.82, 510.18 and 298.68 is: 449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.82 : 510.18 = 298.68 : x
  2. Step 2: Convert to fraction form
    338.82/510.18 = 298.68/x
  3. Step 3: Cross multiply
    338.82x = 510.18 × 298.68
  4. Step 4: Simplify right side
    338.82x = 152,380.56
  5. Step 5: Solve for x
    x = 152,380.56/338.82
  6. Step 6: Final answer
    x = 449.74

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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.