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Finding the Fourth Proportional to 256.14, 351.54 and 252.18

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Solution

The fourth proportional to 256.14, 351.54 and 252.18 is: 346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.14 : 351.54 = 252.18 : x
  2. Step 2: Convert to fraction form
    256.14/351.54 = 252.18/x
  3. Step 3: Cross multiply
    256.14x = 351.54 × 252.18
  4. Step 4: Simplify right side
    256.14x = 88,651.36
  5. Step 5: Solve for x
    x = 88,651.36/256.14
  6. Step 6: Final answer
    x = 346.11

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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.