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Finding the Fourth Proportional to 314.03, 433.31 and 197.57

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Solution

The fourth proportional to 314.03, 433.31 and 197.57 is: 272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.03 : 433.31 = 197.57 : x
  2. Step 2: Convert to fraction form
    314.03/433.31 = 197.57/x
  3. Step 3: Cross multiply
    314.03x = 433.31 × 197.57
  4. Step 4: Simplify right side
    314.03x = 85,605.90
  5. Step 5: Solve for x
    x = 85,605.90/314.03
  6. Step 6: Final answer
    x = 272.61

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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.