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Finding the Fourth Proportional to 316.49, 436.80 and 192.23

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Solution

The fourth proportional to 316.49, 436.80 and 192.23 is: 265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.49 : 436.80 = 192.23 : x
  2. Step 2: Convert to fraction form
    316.49/436.80 = 192.23/x
  3. Step 3: Cross multiply
    316.49x = 436.80 × 192.23
  4. Step 4: Simplify right side
    316.49x = 83,966.06
  5. Step 5: Solve for x
    x = 83,966.06/316.49
  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.