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Finding the Fourth Proportional to 256.17, 351.41 and 253.98

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Solution

The fourth proportional to 256.17, 351.41 and 253.98 is: 348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.17 : 351.41 = 253.98 : x
  2. Step 2: Convert to fraction form
    256.17/351.41 = 253.98/x
  3. Step 3: Cross multiply
    256.17x = 351.41 × 253.98
  4. Step 4: Simplify right side
    256.17x = 89,249.84
  5. Step 5: Solve for x
    x = 89,249.84/256.17
  6. Step 6: Final answer
    x = 348.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.