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Finding the Fourth Proportional to 444.65, 666.34 and 328.19

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Solution

The fourth proportional to 444.65, 666.34 and 328.19 is: 491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.65 : 666.34 = 328.19 : x
  2. Step 2: Convert to fraction form
    444.65/666.34 = 328.19/x
  3. Step 3: Cross multiply
    444.65x = 666.34 × 328.19
  4. Step 4: Simplify right side
    444.65x = 218,681.97
  5. Step 5: Solve for x
    x = 218,681.97/444.65
  6. Step 6: Final answer
    x = 491.81

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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.