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Finding the Fourth Proportional to 453.86, 680.40 and 210.56

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Solution

The fourth proportional to 453.86, 680.40 and 210.56 is: 315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.86 : 680.40 = 210.56 : x
  2. Step 2: Convert to fraction form
    453.86/680.40 = 210.56/x
  3. Step 3: Cross multiply
    453.86x = 680.40 × 210.56
  4. Step 4: Simplify right side
    453.86x = 143,261.62
  5. Step 5: Solve for x
    x = 143,261.62/453.86
  6. Step 6: Final answer
    x = 315.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.