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Finding the Fourth Proportional to 316.46, 436.69 and 176.56

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Solution

The fourth proportional to 316.46, 436.69 and 176.56 is: 243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.46 : 436.69 = 176.56 : x
  2. Step 2: Convert to fraction form
    316.46/436.69 = 176.56/x
  3. Step 3: Cross multiply
    316.46x = 436.69 × 176.56
  4. Step 4: Simplify right side
    316.46x = 77,103.57
  5. Step 5: Solve for x
    x = 77,103.57/316.46
  6. Step 6: Final answer
    x = 243.65

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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.