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Finding the Fourth Proportional to 402.95, 556.08 and 225.91

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Solution

The fourth proportional to 402.95, 556.08 and 225.91 is: 311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.95 : 556.08 = 225.91 : x
  2. Step 2: Convert to fraction form
    402.95/556.08 = 225.91/x
  3. Step 3: Cross multiply
    402.95x = 556.08 × 225.91
  4. Step 4: Simplify right side
    402.95x = 125,623.88
  5. Step 5: Solve for x
    x = 125,623.88/402.95
  6. Step 6: Final answer
    x = 311.76

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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.