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Finding the Fourth Proportional to 225.05, 310.01 and 203.18

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Solution

The fourth proportional to 225.05, 310.01 and 203.18 is: 279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.05 : 310.01 = 203.18 : x
  2. Step 2: Convert to fraction form
    225.05/310.01 = 203.18/x
  3. Step 3: Cross multiply
    225.05x = 310.01 × 203.18
  4. Step 4: Simplify right side
    225.05x = 62,985.27
  5. Step 5: Solve for x
    x = 62,985.27/225.05
  6. Step 6: Final answer
    x = 279.88

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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.