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Finding the Fourth Proportional to 384.96, 531 and 323.16

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Solution

The fourth proportional to 384.96, 531 and 323.16 is: 445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.96 : 531 = 323.16 : x
  2. Step 2: Convert to fraction form
    384.96/531 = 323.16/x
  3. Step 3: Cross multiply
    384.96x = 531 × 323.16
  4. Step 4: Simplify right side
    384.96x = 171,597.96
  5. Step 5: Solve for x
    x = 171,597.96/384.96
  6. Step 6: Final answer
    x = 445.76

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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.