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Finding the Fourth Proportional to 356.98, 492.87 and 224.26

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Solution

The fourth proportional to 356.98, 492.87 and 224.26 is: 309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.98 : 492.87 = 224.26 : x
  2. Step 2: Convert to fraction form
    356.98/492.87 = 224.26/x
  3. Step 3: Cross multiply
    356.98x = 492.87 × 224.26
  4. Step 4: Simplify right side
    356.98x = 110,528.56
  5. Step 5: Solve for x
    x = 110,528.56/356.98
  6. Step 6: Final answer
    x = 309.63

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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.