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Finding the Fourth Proportional to 316.35, 436.58 and 185.40

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Solution

The fourth proportional to 316.35, 436.58 and 185.40 is: 255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.35 : 436.58 = 185.40 : x
  2. Step 2: Convert to fraction form
    316.35/436.58 = 185.40/x
  3. Step 3: Cross multiply
    316.35x = 436.58 × 185.40
  4. Step 4: Simplify right side
    316.35x = 80,941.01
  5. Step 5: Solve for x
    x = 80,941.01/316.35
  6. Step 6: Final answer
    x = 255.86

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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.