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Finding the Fourth Proportional to 491.37, 736.79 and 217.14

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Solution

The fourth proportional to 491.37, 736.79 and 217.14 is: 325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.37 : 736.79 = 217.14 : x
  2. Step 2: Convert to fraction form
    491.37/736.79 = 217.14/x
  3. Step 3: Cross multiply
    491.37x = 736.79 × 217.14
  4. Step 4: Simplify right side
    491.37x = 159,986.58
  5. Step 5: Solve for x
    x = 159,986.58/491.37
  6. Step 6: Final answer
    x = 325.59

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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.