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Finding the Fourth Proportional to 256.94, 383.52 and 235.29

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Solution

The fourth proportional to 256.94, 383.52 and 235.29 is: 351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.94 : 383.52 = 235.29 : x
  2. Step 2: Convert to fraction form
    256.94/383.52 = 235.29/x
  3. Step 3: Cross multiply
    256.94x = 383.52 × 235.29
  4. Step 4: Simplify right side
    256.94x = 90,238.42
  5. Step 5: Solve for x
    x = 90,238.42/256.94
  6. Step 6: Final answer
    x = 351.21

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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.