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Finding the Fourth Proportional to 492.84, 678.38 and 359.84

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Solution

The fourth proportional to 492.84, 678.38 and 359.84 is: 495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.84 : 678.38 = 359.84 : x
  2. Step 2: Convert to fraction form
    492.84/678.38 = 359.84/x
  3. Step 3: Cross multiply
    492.84x = 678.38 × 359.84
  4. Step 4: Simplify right side
    492.84x = 244,108.26
  5. Step 5: Solve for x
    x = 244,108.26/492.84
  6. Step 6: Final answer
    x = 495.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.