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Finding the Fourth Proportional to 315.87, 436.11 and 197.89

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Solution

The fourth proportional to 315.87, 436.11 and 197.89 is: 273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.87 : 436.11 = 197.89 : x
  2. Step 2: Convert to fraction form
    315.87/436.11 = 197.89/x
  3. Step 3: Cross multiply
    315.87x = 436.11 × 197.89
  4. Step 4: Simplify right side
    315.87x = 86,301.81
  5. Step 5: Solve for x
    x = 86,301.81/315.87
  6. Step 6: Final answer
    x = 273.22

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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.