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Finding the Fourth Proportional to 223.43, 336.77 and 214.16

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Solution

The fourth proportional to 223.43, 336.77 and 214.16 is: 322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.43 : 336.77 = 214.16 : x
  2. Step 2: Convert to fraction form
    223.43/336.77 = 214.16/x
  3. Step 3: Cross multiply
    223.43x = 336.77 × 214.16
  4. Step 4: Simplify right side
    223.43x = 72,120.71
  5. Step 5: Solve for x
    x = 72,120.71/223.43
  6. Step 6: Final answer
    x = 322.80

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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.