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Finding the Fourth Proportional to 452.58, 678.84 and 206.02

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Solution

The fourth proportional to 452.58, 678.84 and 206.02 is: 309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.58 : 678.84 = 206.02 : x
  2. Step 2: Convert to fraction form
    452.58/678.84 = 206.02/x
  3. Step 3: Cross multiply
    452.58x = 678.84 × 206.02
  4. Step 4: Simplify right side
    452.58x = 139,854.62
  5. Step 5: Solve for x
    x = 139,854.62/452.58
  6. Step 6: Final answer
    x = 309.02

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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.