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Finding the Fourth Proportional to 316.50, 436.78 and 178.50

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Solution

The fourth proportional to 316.50, 436.78 and 178.50 is: 246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.50 : 436.78 = 178.50 : x
  2. Step 2: Convert to fraction form
    316.50/436.78 = 178.50/x
  3. Step 3: Cross multiply
    316.50x = 436.78 × 178.50
  4. Step 4: Simplify right side
    316.50x = 77,965.23
  5. Step 5: Solve for x
    x = 77,965.23/316.50
  6. Step 6: Final answer
    x = 246.34

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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.