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Finding the Fourth Proportional to 512.43, 768.65 and 256.11

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Solution

The fourth proportional to 512.43, 768.65 and 256.11 is: 384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.43 : 768.65 = 256.11 : x
  2. Step 2: Convert to fraction form
    512.43/768.65 = 256.11/x
  3. Step 3: Cross multiply
    512.43x = 768.65 × 256.11
  4. Step 4: Simplify right side
    512.43x = 196,857.67
  5. Step 5: Solve for x
    x = 196,857.67/512.43
  6. Step 6: Final answer
    x = 384.17

Related Problems

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Double scale
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Similar ratio
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1.5x scale

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.