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Finding the Fourth Proportional to 356.21, 491.57 and 198.85

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Solution

The fourth proportional to 356.21, 491.57 and 198.85 is: 274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.21 : 491.57 = 198.85 : x
  2. Step 2: Convert to fraction form
    356.21/491.57 = 198.85/x
  3. Step 3: Cross multiply
    356.21x = 491.57 × 198.85
  4. Step 4: Simplify right side
    356.21x = 97,746.47
  5. Step 5: Solve for x
    x = 97,746.47/356.21
  6. Step 6: Final answer
    x = 274.40

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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.