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Finding the Fourth Proportional to 255.32, 384.70 and 212.92

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Solution

The fourth proportional to 255.32, 384.70 and 212.92 is: 320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.32 : 384.70 = 212.92 : x
  2. Step 2: Convert to fraction form
    255.32/384.70 = 212.92/x
  3. Step 3: Cross multiply
    255.32x = 384.70 × 212.92
  4. Step 4: Simplify right side
    255.32x = 81,910.32
  5. Step 5: Solve for x
    x = 81,910.32/255.32
  6. Step 6: Final answer
    x = 320.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.