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Finding the Fourth Proportional to 225.53, 336.25 and 203.66

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Solution

The fourth proportional to 225.53, 336.25 and 203.66 is: 303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.53 : 336.25 = 203.66 : x
  2. Step 2: Convert to fraction form
    225.53/336.25 = 203.66/x
  3. Step 3: Cross multiply
    225.53x = 336.25 × 203.66
  4. Step 4: Simplify right side
    225.53x = 68,482.40
  5. Step 5: Solve for x
    x = 68,482.40/225.53
  6. Step 6: Final answer
    x = 303.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.