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Finding the Fourth Proportional to 342.33, 514.01 and 221.36

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Solution

The fourth proportional to 342.33, 514.01 and 221.36 is: 332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.33 : 514.01 = 221.36 : x
  2. Step 2: Convert to fraction form
    342.33/514.01 = 221.36/x
  3. Step 3: Cross multiply
    342.33x = 514.01 × 221.36
  4. Step 4: Simplify right side
    342.33x = 113,777.58
  5. Step 5: Solve for x
    x = 113,777.58/342.33
  6. Step 6: Final answer
    x = 332.36

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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.