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Finding the Fourth Proportional to 342.12, 512.10 and 193.68

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Solution

The fourth proportional to 342.12, 512.10 and 193.68 is: 289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.12 : 512.10 = 193.68 : x
  2. Step 2: Convert to fraction form
    342.12/512.10 = 193.68/x
  3. Step 3: Cross multiply
    342.12x = 512.10 × 193.68
  4. Step 4: Simplify right side
    342.12x = 99,183.53
  5. Step 5: Solve for x
    x = 99,183.53/342.12
  6. Step 6: Final answer
    x = 289.91

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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.