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Finding the Fourth Proportional to 225.95, 337.29 and 216.84

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Solution

The fourth proportional to 225.95, 337.29 and 216.84 is: 323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.95 : 337.29 = 216.84 : x
  2. Step 2: Convert to fraction form
    225.95/337.29 = 216.84/x
  3. Step 3: Cross multiply
    225.95x = 337.29 × 216.84
  4. Step 4: Simplify right side
    225.95x = 73,136.28
  5. Step 5: Solve for x
    x = 73,136.28/225.95
  6. Step 6: Final answer
    x = 323.68

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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.