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Finding the Fourth Proportional to 325.81, 487.79 and 256.96

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Solution

The fourth proportional to 325.81, 487.79 and 256.96 is: 384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.81 : 487.79 = 256.96 : x
  2. Step 2: Convert to fraction form
    325.81/487.79 = 256.96/x
  3. Step 3: Cross multiply
    325.81x = 487.79 × 256.96
  4. Step 4: Simplify right side
    325.81x = 125,338.79
  5. Step 5: Solve for x
    x = 125,338.79/325.81
  6. Step 6: Final answer
    x = 384.70

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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.