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Finding the Fourth Proportional to 384.80, 531.02 and 227.48

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Solution

The fourth proportional to 384.80, 531.02 and 227.48 is: 313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.80 : 531.02 = 227.48 : x
  2. Step 2: Convert to fraction form
    384.80/531.02 = 227.48/x
  3. Step 3: Cross multiply
    384.80x = 531.02 × 227.48
  4. Step 4: Simplify right side
    384.80x = 120,794.34
  5. Step 5: Solve for x
    x = 120,794.34/384.80
  6. Step 6: Final answer
    x = 313.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.