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Finding the Fourth Proportional to 133.28, 199.88 and 64.67

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Solution

The fourth proportional to 133.28, 199.88 and 64.67 is: 96.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.28 : 199.88 = 64.67 : x
  2. Step 2: Convert to fraction form
    133.28/199.88 = 64.67/x
  3. Step 3: Cross multiply
    133.28x = 199.88 × 64.67
  4. Step 4: Simplify right side
    133.28x = 12,924.92
  5. Step 5: Solve for x
    x = 12,924.92/133.28
  6. Step 6: Final answer
    x = 96.98

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