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Finding the Fourth Proportional to 357.66, 536.49 and 213.42

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Solution

The fourth proportional to 357.66, 536.49 and 213.42 is: 320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.66 : 536.49 = 213.42 : x
  2. Step 2: Convert to fraction form
    357.66/536.49 = 213.42/x
  3. Step 3: Cross multiply
    357.66x = 536.49 × 213.42
  4. Step 4: Simplify right side
    357.66x = 114,497.70
  5. Step 5: Solve for x
    x = 114,497.70/357.66
  6. Step 6: Final answer
    x = 320.13

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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.