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Finding the Fourth Proportional to 334.44, 461.40 and 210.05

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Solution

The fourth proportional to 334.44, 461.40 and 210.05 is: 289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.44 : 461.40 = 210.05 : x
  2. Step 2: Convert to fraction form
    334.44/461.40 = 210.05/x
  3. Step 3: Cross multiply
    334.44x = 461.40 × 210.05
  4. Step 4: Simplify right side
    334.44x = 96,913.71
  5. Step 5: Solve for x
    x = 96,913.71/334.44
  6. Step 6: Final answer
    x = 289.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.