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Finding the Fourth Proportional to 452.91, 678.14 and 236.03

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Solution

The fourth proportional to 452.91, 678.14 and 236.03 is: 353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.91 : 678.14 = 236.03 : x
  2. Step 2: Convert to fraction form
    452.91/678.14 = 236.03/x
  3. Step 3: Cross multiply
    452.91x = 678.14 × 236.03
  4. Step 4: Simplify right side
    452.91x = 160,063.67
  5. Step 5: Solve for x
    x = 160,063.67/452.91
  6. Step 6: Final answer
    x = 353.41

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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.