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Finding the Fourth Proportional to 356.63, 491.99 and 225.60

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Solution

The fourth proportional to 356.63, 491.99 and 225.60 is: 311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.63 : 491.99 = 225.60 : x
  2. Step 2: Convert to fraction form
    356.63/491.99 = 225.60/x
  3. Step 3: Cross multiply
    356.63x = 491.99 × 225.60
  4. Step 4: Simplify right side
    356.63x = 110,991.82
  5. Step 5: Solve for x
    x = 110,991.82/356.63
  6. Step 6: Final answer
    x = 311.23

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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.