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Finding the Fourth Proportional to 310.10, 428.13 and 223.06

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Solution

The fourth proportional to 310.10, 428.13 and 223.06 is: 307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.10 : 428.13 = 223.06 : x
  2. Step 2: Convert to fraction form
    310.10/428.13 = 223.06/x
  3. Step 3: Cross multiply
    310.10x = 428.13 × 223.06
  4. Step 4: Simplify right side
    310.10x = 95,498.68
  5. Step 5: Solve for x
    x = 95,498.68/310.10
  6. Step 6: Final answer
    x = 307.96

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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.