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Finding the Fourth Proportional to 225.30, 336.30 and 214.68

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Solution

The fourth proportional to 225.30, 336.30 and 214.68 is: 320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.30 : 336.30 = 214.68 : x
  2. Step 2: Convert to fraction form
    225.30/336.30 = 214.68/x
  3. Step 3: Cross multiply
    225.30x = 336.30 × 214.68
  4. Step 4: Simplify right side
    225.30x = 72,196.88
  5. Step 5: Solve for x
    x = 72,196.88/225.30
  6. Step 6: Final answer
    x = 320.45

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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.