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Finding the Fourth Proportional to 491.40, 678.68 and 326.37

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Solution

The fourth proportional to 491.40, 678.68 and 326.37 is: 450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.40 : 678.68 = 326.37 : x
  2. Step 2: Convert to fraction form
    491.40/678.68 = 326.37/x
  3. Step 3: Cross multiply
    491.40x = 678.68 × 326.37
  4. Step 4: Simplify right side
    491.40x = 221,499.16
  5. Step 5: Solve for x
    x = 221,499.16/491.40
  6. Step 6: Final answer
    x = 450.75

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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.