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Finding the Fourth Proportional to 380.86, 570.51 and 192.67

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Solution

The fourth proportional to 380.86, 570.51 and 192.67 is: 288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.86 : 570.51 = 192.67 : x
  2. Step 2: Convert to fraction form
    380.86/570.51 = 192.67/x
  3. Step 3: Cross multiply
    380.86x = 570.51 × 192.67
  4. Step 4: Simplify right side
    380.86x = 109,920.16
  5. Step 5: Solve for x
    x = 109,920.16/380.86
  6. Step 6: Final answer
    x = 288.61

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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.