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Finding the Fourth Proportional to 310.50, 427.95 and 255.06

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Solution

The fourth proportional to 310.50, 427.95 and 255.06 is: 351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.50 : 427.95 = 255.06 : x
  2. Step 2: Convert to fraction form
    310.50/427.95 = 255.06/x
  3. Step 3: Cross multiply
    310.50x = 427.95 × 255.06
  4. Step 4: Simplify right side
    310.50x = 109,152.93
  5. Step 5: Solve for x
    x = 109,152.93/310.50
  6. Step 6: Final answer
    x = 351.54

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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.