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Finding the Fourth Proportional to 225.57, 310.86 and 183.99

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Solution

The fourth proportional to 225.57, 310.86 and 183.99 is: 253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.57 : 310.86 = 183.99 : x
  2. Step 2: Convert to fraction form
    225.57/310.86 = 183.99/x
  3. Step 3: Cross multiply
    225.57x = 310.86 × 183.99
  4. Step 4: Simplify right side
    225.57x = 57,195.13
  5. Step 5: Solve for x
    x = 57,195.13/225.57
  6. Step 6: Final answer
    x = 253.56

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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.