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Finding the Fourth Proportional to 336.42, 461.78 and 298.74

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Solution

The fourth proportional to 336.42, 461.78 and 298.74 is: 410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.42 : 461.78 = 298.74 : x
  2. Step 2: Convert to fraction form
    336.42/461.78 = 298.74/x
  3. Step 3: Cross multiply
    336.42x = 461.78 × 298.74
  4. Step 4: Simplify right side
    336.42x = 137,950.66
  5. Step 5: Solve for x
    x = 137,950.66/336.42
  6. Step 6: Final answer
    x = 410.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.