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Finding the Fourth Proportional to 255.10, 351.94 and 156.82

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Solution

The fourth proportional to 255.10, 351.94 and 156.82 is: 216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.10 : 351.94 = 156.82 : x
  2. Step 2: Convert to fraction form
    255.10/351.94 = 156.82/x
  3. Step 3: Cross multiply
    255.10x = 351.94 × 156.82
  4. Step 4: Simplify right side
    255.10x = 55,191.23
  5. Step 5: Solve for x
    x = 55,191.23/255.10
  6. Step 6: Final answer
    x = 216.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.