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Finding the Fourth Proportional to 342.40, 513.46 and 136.94

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Solution

The fourth proportional to 342.40, 513.46 and 136.94 is: 205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.40 : 513.46 = 136.94 : x
  2. Step 2: Convert to fraction form
    342.40/513.46 = 136.94/x
  3. Step 3: Cross multiply
    342.40x = 513.46 × 136.94
  4. Step 4: Simplify right side
    342.40x = 70,313.21
  5. Step 5: Solve for x
    x = 70,313.21/342.40
  6. Step 6: Final answer
    x = 205.35

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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.