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Finding the Fourth Proportional to 492.26, 678.57 and 334.58

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Solution

The fourth proportional to 492.26, 678.57 and 334.58 is: 461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.26 : 678.57 = 334.58 : x
  2. Step 2: Convert to fraction form
    492.26/678.57 = 334.58/x
  3. Step 3: Cross multiply
    492.26x = 678.57 × 334.58
  4. Step 4: Simplify right side
    492.26x = 227,035.95
  5. Step 5: Solve for x
    x = 227,035.95/492.26
  6. Step 6: Final answer
    x = 461.21

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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.