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Finding the Fourth Proportional to 351.76, 526.96 and 197.22

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Solution

The fourth proportional to 351.76, 526.96 and 197.22 is: 295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.76 : 526.96 = 197.22 : x
  2. Step 2: Convert to fraction form
    351.76/526.96 = 197.22/x
  3. Step 3: Cross multiply
    351.76x = 526.96 × 197.22
  4. Step 4: Simplify right side
    351.76x = 103,924.58
  5. Step 5: Solve for x
    x = 103,924.58/351.76
  6. Step 6: Final answer
    x = 295.44

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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.