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Finding the Fourth Proportional to 452.78, 677.51 and 257.96

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Solution

The fourth proportional to 452.78, 677.51 and 257.96 is: 386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.78 : 677.51 = 257.96 : x
  2. Step 2: Convert to fraction form
    452.78/677.51 = 257.96/x
  3. Step 3: Cross multiply
    452.78x = 677.51 × 257.96
  4. Step 4: Simplify right side
    452.78x = 174,771.40
  5. Step 5: Solve for x
    x = 174,771.40/452.78
  6. Step 6: Final answer
    x = 386.00

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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.