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Finding the Fourth Proportional to 316.38, 436.60 and 178.38

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Solution

The fourth proportional to 316.38, 436.60 and 178.38 is: 246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.38 : 436.60 = 178.38 : x
  2. Step 2: Convert to fraction form
    316.38/436.60 = 178.38/x
  3. Step 3: Cross multiply
    316.38x = 436.60 × 178.38
  4. Step 4: Simplify right side
    316.38x = 77,880.71
  5. Step 5: Solve for x
    x = 77,880.71/316.38
  6. Step 6: Final answer
    x = 246.16

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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.