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Finding the Fourth Proportional to 225.24, 309.18 and 203.37

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Solution

The fourth proportional to 225.24, 309.18 and 203.37 is: 279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.24 : 309.18 = 203.37 : x
  2. Step 2: Convert to fraction form
    225.24/309.18 = 203.37/x
  3. Step 3: Cross multiply
    225.24x = 309.18 × 203.37
  4. Step 4: Simplify right side
    225.24x = 62,877.94
  5. Step 5: Solve for x
    x = 62,877.94/225.24
  6. Step 6: Final answer
    x = 279.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.