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Finding the Fourth Proportional to 452.41, 678.10 and 205.57

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Solution

The fourth proportional to 452.41, 678.10 and 205.57 is: 308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.41 : 678.10 = 205.57 : x
  2. Step 2: Convert to fraction form
    452.41/678.10 = 205.57/x
  3. Step 3: Cross multiply
    452.41x = 678.10 × 205.57
  4. Step 4: Simplify right side
    452.41x = 139,397.02
  5. Step 5: Solve for x
    x = 139,397.02/452.41
  6. Step 6: Final answer
    x = 308.12

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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.