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Finding the Fourth Proportional to 356.80, 491.84 and 232.44

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Solution

The fourth proportional to 356.80, 491.84 and 232.44 is: 320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.80 : 491.84 = 232.44 : x
  2. Step 2: Convert to fraction form
    356.80/491.84 = 232.44/x
  3. Step 3: Cross multiply
    356.80x = 491.84 × 232.44
  4. Step 4: Simplify right side
    356.80x = 114,323.29
  5. Step 5: Solve for x
    x = 114,323.29/356.80
  6. Step 6: Final answer
    x = 320.41

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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.