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Finding the Fourth Proportional to 356.78, 491.79 and 263.23

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Solution

The fourth proportional to 356.78, 491.79 and 263.23 is: 362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.78 : 491.79 = 263.23 : x
  2. Step 2: Convert to fraction form
    356.78/491.79 = 263.23/x
  3. Step 3: Cross multiply
    356.78x = 491.79 × 263.23
  4. Step 4: Simplify right side
    356.78x = 129,453.88
  5. Step 5: Solve for x
    x = 129,453.88/356.78
  6. Step 6: Final answer
    x = 362.84

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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.