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Finding the Fourth Proportional to 444.26, 666.49 and 238.77

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Solution

The fourth proportional to 444.26, 666.49 and 238.77 is: 358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.26 : 666.49 = 238.77 : x
  2. Step 2: Convert to fraction form
    444.26/666.49 = 238.77/x
  3. Step 3: Cross multiply
    444.26x = 666.49 × 238.77
  4. Step 4: Simplify right side
    444.26x = 159,137.82
  5. Step 5: Solve for x
    x = 159,137.82/444.26
  6. Step 6: Final answer
    x = 358.21

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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.