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Finding the Fourth Proportional to 256.63, 385.09 and 102.63

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Solution

The fourth proportional to 256.63, 385.09 and 102.63 is: 154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.63 : 385.09 = 102.63 : x
  2. Step 2: Convert to fraction form
    256.63/385.09 = 102.63/x
  3. Step 3: Cross multiply
    256.63x = 385.09 × 102.63
  4. Step 4: Simplify right side
    256.63x = 39,521.27
  5. Step 5: Solve for x
    x = 39,521.27/256.63
  6. Step 6: Final answer
    x = 154.00

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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.