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Finding the Fourth Proportional to 314.42, 433.69 and 197.91

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Solution

The fourth proportional to 314.42, 433.69 and 197.91 is: 272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.42 : 433.69 = 197.91 : x
  2. Step 2: Convert to fraction form
    314.42/433.69 = 197.91/x
  3. Step 3: Cross multiply
    314.42x = 433.69 × 197.91
  4. Step 4: Simplify right side
    314.42x = 85,831.09
  5. Step 5: Solve for x
    x = 85,831.09/314.42
  6. Step 6: Final answer
    x = 272.99

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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.