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Finding the Fourth Proportional to 96.42, 144.81 and 86.34

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Solution

The fourth proportional to 96.42, 144.81 and 86.34 is: 129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.42 : 144.81 = 86.34 : x
  2. Step 2: Convert to fraction form
    96.42/144.81 = 86.34/x
  3. Step 3: Cross multiply
    96.42x = 144.81 × 86.34
  4. Step 4: Simplify right side
    96.42x = 12,502.90
  5. Step 5: Solve for x
    x = 12,502.90/96.42
  6. Step 6: Final answer
    x = 129.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.