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Finding the Fourth Proportional to 452.55, 678.27 and 257.71

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Solution

The fourth proportional to 452.55, 678.27 and 257.71 is: 386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.55 : 678.27 = 257.71 : x
  2. Step 2: Convert to fraction form
    452.55/678.27 = 257.71/x
  3. Step 3: Cross multiply
    452.55x = 678.27 × 257.71
  4. Step 4: Simplify right side
    452.55x = 174,796.96
  5. Step 5: Solve for x
    x = 174,796.96/452.55
  6. Step 6: Final answer
    x = 386.25

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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.