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Finding the Fourth Proportional to 316.34, 436.56 and 185.42

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Solution

The fourth proportional to 316.34, 436.56 and 185.42 is: 255.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.34 : 436.56 = 185.42 : x
  2. Step 2: Convert to fraction form
    316.34/436.56 = 185.42/x
  3. Step 3: Cross multiply
    316.34x = 436.56 × 185.42
  4. Step 4: Simplify right side
    316.34x = 80,946.96
  5. Step 5: Solve for x
    x = 80,946.96/316.34
  6. Step 6: Final answer
    x = 255.89

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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.