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Finding the Fourth Proportional to 453.05, 625.08 and 256.56

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Solution

The fourth proportional to 453.05, 625.08 and 256.56 is: 353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.05 : 625.08 = 256.56 : x
  2. Step 2: Convert to fraction form
    453.05/625.08 = 256.56/x
  3. Step 3: Cross multiply
    453.05x = 625.08 × 256.56
  4. Step 4: Simplify right side
    453.05x = 160,367.40
  5. Step 5: Solve for x
    x = 160,367.40/453.05
  6. Step 6: Final answer
    x = 353.97

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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.