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Finding the Fourth Proportional to 256.64, 383.21 and 223.52

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Solution

The fourth proportional to 256.64, 383.21 and 223.52 is: 333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.64 : 383.21 = 223.52 : x
  2. Step 2: Convert to fraction form
    256.64/383.21 = 223.52/x
  3. Step 3: Cross multiply
    256.64x = 383.21 × 223.52
  4. Step 4: Simplify right side
    256.64x = 85,655.10
  5. Step 5: Solve for x
    x = 85,655.10/256.64
  6. Step 6: Final answer
    x = 333.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.