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Finding the Fourth Proportional to 289.32, 398.66 and 197.16

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Solution

The fourth proportional to 289.32, 398.66 and 197.16 is: 271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.32 : 398.66 = 197.16 : x
  2. Step 2: Convert to fraction form
    289.32/398.66 = 197.16/x
  3. Step 3: Cross multiply
    289.32x = 398.66 × 197.16
  4. Step 4: Simplify right side
    289.32x = 78,599.81
  5. Step 5: Solve for x
    x = 78,599.81/289.32
  6. Step 6: Final answer
    x = 271.67

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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.