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Finding the Fourth Proportional to 255.56, 354.56 and 253.16

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Solution

The fourth proportional to 255.56, 354.56 and 253.16 is: 351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.56 : 354.56 = 253.16 : x
  2. Step 2: Convert to fraction form
    255.56/354.56 = 253.16/x
  3. Step 3: Cross multiply
    255.56x = 354.56 × 253.16
  4. Step 4: Simplify right side
    255.56x = 89,760.41
  5. Step 5: Solve for x
    x = 89,760.41/255.56
  6. Step 6: Final answer
    x = 351.23

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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.