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Finding the Fourth Proportional to 342.12, 513.32 and 125.71

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Solution

The fourth proportional to 342.12, 513.32 and 125.71 is: 188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.12 : 513.32 = 125.71 : x
  2. Step 2: Convert to fraction form
    342.12/513.32 = 125.71/x
  3. Step 3: Cross multiply
    342.12x = 513.32 × 125.71
  4. Step 4: Simplify right side
    342.12x = 64,529.46
  5. Step 5: Solve for x
    x = 64,529.46/342.12
  6. Step 6: Final answer
    x = 188.62

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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.