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Finding the Fourth Proportional to 453.15, 678.29 and 236.43

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Solution

The fourth proportional to 453.15, 678.29 and 236.43 is: 353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.15 : 678.29 = 236.43 : x
  2. Step 2: Convert to fraction form
    453.15/678.29 = 236.43/x
  3. Step 3: Cross multiply
    453.15x = 678.29 × 236.43
  4. Step 4: Simplify right side
    453.15x = 160,366.92
  5. Step 5: Solve for x
    x = 160,366.92/453.15
  6. Step 6: Final answer
    x = 353.89

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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.