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Finding the Fourth Proportional to 453.28, 625.26 and 342.76

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Solution

The fourth proportional to 453.28, 625.26 and 342.76 is: 472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.28 : 625.26 = 342.76 : x
  2. Step 2: Convert to fraction form
    453.28/625.26 = 342.76/x
  3. Step 3: Cross multiply
    453.28x = 625.26 × 342.76
  4. Step 4: Simplify right side
    453.28x = 214,314.12
  5. Step 5: Solve for x
    x = 214,314.12/453.28
  6. Step 6: Final answer
    x = 472.81

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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.