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Finding the Fourth Proportional to 351.45, 526.83 and 132.02

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Solution

The fourth proportional to 351.45, 526.83 and 132.02 is: 197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.45 : 526.83 = 132.02 : x
  2. Step 2: Convert to fraction form
    351.45/526.83 = 132.02/x
  3. Step 3: Cross multiply
    351.45x = 526.83 × 132.02
  4. Step 4: Simplify right side
    351.45x = 69,552.10
  5. Step 5: Solve for x
    x = 69,552.10/351.45
  6. Step 6: Final answer
    x = 197.90

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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.