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Finding the Fourth Proportional to 256.23, 383.94 and 230.41

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Solution

The fourth proportional to 256.23, 383.94 and 230.41 is: 345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.23 : 383.94 = 230.41 : x
  2. Step 2: Convert to fraction form
    256.23/383.94 = 230.41/x
  3. Step 3: Cross multiply
    256.23x = 383.94 × 230.41
  4. Step 4: Simplify right side
    256.23x = 88,464.10
  5. Step 5: Solve for x
    x = 88,464.10/256.23
  6. Step 6: Final answer
    x = 345.25

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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.