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Finding the Fourth Proportional to 132.49, 198.47 and 64.07

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Solution

The fourth proportional to 132.49, 198.47 and 64.07 is: 95.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.49 : 198.47 = 64.07 : x
  2. Step 2: Convert to fraction form
    132.49/198.47 = 64.07/x
  3. Step 3: Cross multiply
    132.49x = 198.47 × 64.07
  4. Step 4: Simplify right side
    132.49x = 12,716.64
  5. Step 5: Solve for x
    x = 12,716.64/132.49
  6. Step 6: Final answer
    x = 95.99

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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.