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Finding the Fourth Proportional to 225.45, 339.75 and 214.47

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Solution

The fourth proportional to 225.45, 339.75 and 214.47 is: 323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.45 : 339.75 = 214.47 : x
  2. Step 2: Convert to fraction form
    225.45/339.75 = 214.47/x
  3. Step 3: Cross multiply
    225.45x = 339.75 × 214.47
  4. Step 4: Simplify right side
    225.45x = 72,866.18
  5. Step 5: Solve for x
    x = 72,866.18/225.45
  6. Step 6: Final answer
    x = 323.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.