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Finding the Fourth Proportional to 645.94, 969.36 and 256

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Solution

The fourth proportional to 645.94, 969.36 and 256 is: 384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.94 : 969.36 = 256 : x
  2. Step 2: Convert to fraction form
    645.94/969.36 = 256/x
  3. Step 3: Cross multiply
    645.94x = 969.36 × 256
  4. Step 4: Simplify right side
    645.94x = 248,156.16
  5. Step 5: Solve for x
    x = 248,156.16/645.94
  6. Step 6: Final answer
    x = 384.18

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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.