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Finding the Fourth Proportional to 356.42, 491.81 and 199.06

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Solution

The fourth proportional to 356.42, 491.81 and 199.06 is: 274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.42 : 491.81 = 199.06 : x
  2. Step 2: Convert to fraction form
    356.42/491.81 = 199.06/x
  3. Step 3: Cross multiply
    356.42x = 491.81 × 199.06
  4. Step 4: Simplify right side
    356.42x = 97,898.97
  5. Step 5: Solve for x
    x = 97,898.97/356.42
  6. Step 6: Final answer
    x = 274.68

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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.