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Finding the Fourth Proportional to 356.33, 491.68 and 198.93

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Solution

The fourth proportional to 356.33, 491.68 and 198.93 is: 274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.33 : 491.68 = 198.93 : x
  2. Step 2: Convert to fraction form
    356.33/491.68 = 198.93/x
  3. Step 3: Cross multiply
    356.33x = 491.68 × 198.93
  4. Step 4: Simplify right side
    356.33x = 97,810.05
  5. Step 5: Solve for x
    x = 97,810.05/356.33
  6. Step 6: Final answer
    x = 274.49

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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.