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Finding the Fourth Proportional to 225.86, 337.23 and 202.57

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Solution

The fourth proportional to 225.86, 337.23 and 202.57 is: 302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.86 : 337.23 = 202.57 : x
  2. Step 2: Convert to fraction form
    225.86/337.23 = 202.57/x
  3. Step 3: Cross multiply
    225.86x = 337.23 × 202.57
  4. Step 4: Simplify right side
    225.86x = 68,311.84
  5. Step 5: Solve for x
    x = 68,311.84/225.86
  6. Step 6: Final answer
    x = 302.46

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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.