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Finding the Fourth Proportional to 452.63, 678.03 and 208.82

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Solution

The fourth proportional to 452.63, 678.03 and 208.82 is: 312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.63 : 678.03 = 208.82 : x
  2. Step 2: Convert to fraction form
    452.63/678.03 = 208.82/x
  3. Step 3: Cross multiply
    452.63x = 678.03 × 208.82
  4. Step 4: Simplify right side
    452.63x = 141,582.83
  5. Step 5: Solve for x
    x = 141,582.83/452.63
  6. Step 6: Final answer
    x = 312.80

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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.