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Finding the Fourth Proportional to 310.11, 427.77 and 255.10

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Solution

The fourth proportional to 310.11, 427.77 and 255.10 is: 351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.11 : 427.77 = 255.10 : x
  2. Step 2: Convert to fraction form
    310.11/427.77 = 255.10/x
  3. Step 3: Cross multiply
    310.11x = 427.77 × 255.10
  4. Step 4: Simplify right side
    310.11x = 109,124.13
  5. Step 5: Solve for x
    x = 109,124.13/310.11
  6. Step 6: Final answer
    x = 351.89

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1.5x scale

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.