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Finding the Fourth Proportional to 352.02, 527.45 and 214.65

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Solution

The fourth proportional to 352.02, 527.45 and 214.65 is: 321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.02 : 527.45 = 214.65 : x
  2. Step 2: Convert to fraction form
    352.02/527.45 = 214.65/x
  3. Step 3: Cross multiply
    352.02x = 527.45 × 214.65
  4. Step 4: Simplify right side
    352.02x = 113,214.51
  5. Step 5: Solve for x
    x = 113,214.51/352.02
  6. Step 6: Final answer
    x = 321.62

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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.