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Finding the Fourth Proportional to 351.42, 526.44 and 196.88

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Solution

The fourth proportional to 351.42, 526.44 and 196.88 is: 294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.42 : 526.44 = 196.88 : x
  2. Step 2: Convert to fraction form
    351.42/526.44 = 196.88/x
  3. Step 3: Cross multiply
    351.42x = 526.44 × 196.88
  4. Step 4: Simplify right side
    351.42x = 103,642.88
  5. Step 5: Solve for x
    x = 103,642.88/351.42
  6. Step 6: Final answer
    x = 294.93

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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.