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Finding the Fourth Proportional to 256, 383.10 and 153.34

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Solution

The fourth proportional to 256, 383.10 and 153.34 is: 229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 383.10 = 153.34 : x
  2. Step 2: Convert to fraction form
    256/383.10 = 153.34/x
  3. Step 3: Cross multiply
    256x = 383.10 × 153.34
  4. Step 4: Simplify right side
    256x = 58,744.55
  5. Step 5: Solve for x
    x = 58,744.55/256
  6. Step 6: Final answer
    x = 229.47

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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.