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Finding the Fourth Proportional to 492.17, 678.91 and 359.22

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Solution

The fourth proportional to 492.17, 678.91 and 359.22 is: 495.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.17 : 678.91 = 359.22 : x
  2. Step 2: Convert to fraction form
    492.17/678.91 = 359.22/x
  3. Step 3: Cross multiply
    492.17x = 678.91 × 359.22
  4. Step 4: Simplify right side
    492.17x = 243,878.05
  5. Step 5: Solve for x
    x = 243,878.05/492.17
  6. Step 6: Final answer
    x = 495.52

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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.