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Finding the Fourth Proportional to 316.16, 436.31 and 191.81

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Solution

The fourth proportional to 316.16, 436.31 and 191.81 is: 264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.16 : 436.31 = 191.81 : x
  2. Step 2: Convert to fraction form
    316.16/436.31 = 191.81/x
  3. Step 3: Cross multiply
    316.16x = 436.31 × 191.81
  4. Step 4: Simplify right side
    316.16x = 83,686.92
  5. Step 5: Solve for x
    x = 83,686.92/316.16
  6. Step 6: Final answer
    x = 264.70

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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.