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Finding the Fourth Proportional to 132.84, 199.28 and 46.18

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Solution

The fourth proportional to 132.84, 199.28 and 46.18 is: 69.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.84 : 199.28 = 46.18 : x
  2. Step 2: Convert to fraction form
    132.84/199.28 = 46.18/x
  3. Step 3: Cross multiply
    132.84x = 199.28 × 46.18
  4. Step 4: Simplify right side
    132.84x = 9,202.75
  5. Step 5: Solve for x
    x = 9,202.75/132.84
  6. Step 6: Final answer
    x = 69.28

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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.