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Finding the Fourth Proportional to 228.06, 316.95 and 225.63

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Solution

The fourth proportional to 228.06, 316.95 and 225.63 is: 313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.06 : 316.95 = 225.63 : x
  2. Step 2: Convert to fraction form
    228.06/316.95 = 225.63/x
  3. Step 3: Cross multiply
    228.06x = 316.95 × 225.63
  4. Step 4: Simplify right side
    228.06x = 71,513.43
  5. Step 5: Solve for x
    x = 71,513.43/228.06
  6. Step 6: Final answer
    x = 313.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.