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Finding the Fourth Proportional to 316.66, 436.99 and 178.66

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Solution

The fourth proportional to 316.66, 436.99 and 178.66 is: 246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.66 : 436.99 = 178.66 : x
  2. Step 2: Convert to fraction form
    316.66/436.99 = 178.66/x
  3. Step 3: Cross multiply
    316.66x = 436.99 × 178.66
  4. Step 4: Simplify right side
    316.66x = 78,072.63
  5. Step 5: Solve for x
    x = 78,072.63/316.66
  6. Step 6: Final answer
    x = 246.55

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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.