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Finding the Fourth Proportional to 256.22, 384.90 and 183.27

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Solution

The fourth proportional to 256.22, 384.90 and 183.27 is: 275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.22 : 384.90 = 183.27 : x
  2. Step 2: Convert to fraction form
    256.22/384.90 = 183.27/x
  3. Step 3: Cross multiply
    256.22x = 384.90 × 183.27
  4. Step 4: Simplify right side
    256.22x = 70,542.07
  5. Step 5: Solve for x
    x = 70,542.07/256.22
  6. Step 6: Final answer
    x = 275.32

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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.