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Finding the Fourth Proportional to 357.64, 536.46 and 213.26

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Solution

The fourth proportional to 357.64, 536.46 and 213.26 is: 319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.64 : 536.46 = 213.26 : x
  2. Step 2: Convert to fraction form
    357.64/536.46 = 213.26/x
  3. Step 3: Cross multiply
    357.64x = 536.46 × 213.26
  4. Step 4: Simplify right side
    357.64x = 114,405.46
  5. Step 5: Solve for x
    x = 114,405.46/357.64
  6. Step 6: Final answer
    x = 319.89

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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.