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Finding the Fourth Proportional to 225.51, 312.64 and 213.80

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Solution

The fourth proportional to 225.51, 312.64 and 213.80 is: 296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.51 : 312.64 = 213.80 : x
  2. Step 2: Convert to fraction form
    225.51/312.64 = 213.80/x
  3. Step 3: Cross multiply
    225.51x = 312.64 × 213.80
  4. Step 4: Simplify right side
    225.51x = 66,841.90
  5. Step 5: Solve for x
    x = 66,841.90/225.51
  6. Step 6: Final answer
    x = 296.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.