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Finding the Fourth Proportional to 444.48, 666.02 and 322.17

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Solution

The fourth proportional to 444.48, 666.02 and 322.17 is: 482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.48 : 666.02 = 322.17 : x
  2. Step 2: Convert to fraction form
    444.48/666.02 = 322.17/x
  3. Step 3: Cross multiply
    444.48x = 666.02 × 322.17
  4. Step 4: Simplify right side
    444.48x = 214,570.05
  5. Step 5: Solve for x
    x = 214,570.05/444.48
  6. Step 6: Final answer
    x = 482.74

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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.