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Finding the Fourth Proportional to 316.44, 436.80 and 192.20

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Solution

The fourth proportional to 316.44, 436.80 and 192.20 is: 265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.44 : 436.80 = 192.20 : x
  2. Step 2: Convert to fraction form
    316.44/436.80 = 192.20/x
  3. Step 3: Cross multiply
    316.44x = 436.80 × 192.20
  4. Step 4: Simplify right side
    316.44x = 83,952.96
  5. Step 5: Solve for x
    x = 83,952.96/316.44
  6. Step 6: Final answer
    x = 265.30

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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.