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Finding the Fourth Proportional to 356.08, 491.24 and 218

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Solution

The fourth proportional to 356.08, 491.24 and 218 is: 300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.08 : 491.24 = 218 : x
  2. Step 2: Convert to fraction form
    356.08/491.24 = 218/x
  3. Step 3: Cross multiply
    356.08x = 491.24 × 218
  4. Step 4: Simplify right side
    356.08x = 107,090.32
  5. Step 5: Solve for x
    x = 107,090.32/356.08
  6. Step 6: Final answer
    x = 300.75

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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.