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Finding the Fourth Proportional to 310.11, 427.91 and 185.71

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Solution

The fourth proportional to 310.11, 427.91 and 185.71 is: 256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.11 : 427.91 = 185.71 : x
  2. Step 2: Convert to fraction form
    310.11/427.91 = 185.71/x
  3. Step 3: Cross multiply
    310.11x = 427.91 × 185.71
  4. Step 4: Simplify right side
    310.11x = 79,464.69
  5. Step 5: Solve for x
    x = 79,464.69/310.11
  6. Step 6: Final answer
    x = 256.25

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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.