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Finding the Fourth Proportional to 491.49, 736.83 and 217.42

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Solution

The fourth proportional to 491.49, 736.83 and 217.42 is: 325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.49 : 736.83 = 217.42 : x
  2. Step 2: Convert to fraction form
    491.49/736.83 = 217.42/x
  3. Step 3: Cross multiply
    491.49x = 736.83 × 217.42
  4. Step 4: Simplify right side
    491.49x = 160,199.74
  5. Step 5: Solve for x
    x = 160,199.74/491.49
  6. Step 6: Final answer
    x = 325.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.