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Finding the Fourth Proportional to 256.25, 355.25 and 242.39

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Solution

The fourth proportional to 256.25, 355.25 and 242.39 is: 336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.25 : 355.25 = 242.39 : x
  2. Step 2: Convert to fraction form
    256.25/355.25 = 242.39/x
  3. Step 3: Cross multiply
    256.25x = 355.25 × 242.39
  4. Step 4: Simplify right side
    256.25x = 86,107.84
  5. Step 5: Solve for x
    x = 86,107.84/256.25
  6. Step 6: Final answer
    x = 336.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.