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Finding the Fourth Proportional to 357.81, 536.21 and 211.59

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Solution

The fourth proportional to 357.81, 536.21 and 211.59 is: 317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.81 : 536.21 = 211.59 : x
  2. Step 2: Convert to fraction form
    357.81/536.21 = 211.59/x
  3. Step 3: Cross multiply
    357.81x = 536.21 × 211.59
  4. Step 4: Simplify right side
    357.81x = 113,455.62
  5. Step 5: Solve for x
    x = 113,455.62/357.81
  6. Step 6: Final answer
    x = 317.08

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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.