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Finding the Fourth Proportional to 336.60, 505.10 and 214.97

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Solution

The fourth proportional to 336.60, 505.10 and 214.97 is: 322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.60 : 505.10 = 214.97 : x
  2. Step 2: Convert to fraction form
    336.60/505.10 = 214.97/x
  3. Step 3: Cross multiply
    336.60x = 505.10 × 214.97
  4. Step 4: Simplify right side
    336.60x = 108,579.36
  5. Step 5: Solve for x
    x = 108,579.36/336.60
  6. Step 6: Final answer
    x = 322.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.