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Finding the Fourth Proportional to 132.58, 199.02 and 96.04

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Solution

The fourth proportional to 132.58, 199.02 and 96.04 is: 144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.58 : 199.02 = 96.04 : x
  2. Step 2: Convert to fraction form
    132.58/199.02 = 96.04/x
  3. Step 3: Cross multiply
    132.58x = 199.02 × 96.04
  4. Step 4: Simplify right side
    132.58x = 19,113.88
  5. Step 5: Solve for x
    x = 19,113.88/132.58
  6. Step 6: Final answer
    x = 144.17

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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.