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Finding the Fourth Proportional to 358.08, 536.56 and 213.72

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Solution

The fourth proportional to 358.08, 536.56 and 213.72 is: 320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.08 : 536.56 = 213.72 : x
  2. Step 2: Convert to fraction form
    358.08/536.56 = 213.72/x
  3. Step 3: Cross multiply
    358.08x = 536.56 × 213.72
  4. Step 4: Simplify right side
    358.08x = 114,673.60
  5. Step 5: Solve for x
    x = 114,673.60/358.08
  6. Step 6: Final answer
    x = 320.25

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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.