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Finding the Fourth Proportional to 492.20, 678.55 and 334.59

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Solution

The fourth proportional to 492.20, 678.55 and 334.59 is: 461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.20 : 678.55 = 334.59 : x
  2. Step 2: Convert to fraction form
    492.20/678.55 = 334.59/x
  3. Step 3: Cross multiply
    492.20x = 678.55 × 334.59
  4. Step 4: Simplify right side
    492.20x = 227,036.04
  5. Step 5: Solve for x
    x = 227,036.04/492.20
  6. Step 6: Final answer
    x = 461.27

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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.