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Finding the Fourth Proportional to 452.49, 678.15 and 257.40

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Solution

The fourth proportional to 452.49, 678.15 and 257.40 is: 385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.49 : 678.15 = 257.40 : x
  2. Step 2: Convert to fraction form
    452.49/678.15 = 257.40/x
  3. Step 3: Cross multiply
    452.49x = 678.15 × 257.40
  4. Step 4: Simplify right side
    452.49x = 174,555.81
  5. Step 5: Solve for x
    x = 174,555.81/452.49
  6. Step 6: Final answer
    x = 385.77

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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.