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Finding the Fourth Proportional to 358.23, 537.46 and 212.12

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Solution

The fourth proportional to 358.23, 537.46 and 212.12 is: 318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.23 : 537.46 = 212.12 : x
  2. Step 2: Convert to fraction form
    358.23/537.46 = 212.12/x
  3. Step 3: Cross multiply
    358.23x = 537.46 × 212.12
  4. Step 4: Simplify right side
    358.23x = 114,004.51
  5. Step 5: Solve for x
    x = 114,004.51/358.23
  6. Step 6: Final answer
    x = 318.24

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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.