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Finding the Fourth Proportional to 358.32, 537.28 and 214.14

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Solution

The fourth proportional to 358.32, 537.28 and 214.14 is: 321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.32 : 537.28 = 214.14 : x
  2. Step 2: Convert to fraction form
    358.32/537.28 = 214.14/x
  3. Step 3: Cross multiply
    358.32x = 537.28 × 214.14
  4. Step 4: Simplify right side
    358.32x = 115,052.07
  5. Step 5: Solve for x
    x = 115,052.07/358.32
  6. Step 6: Final answer
    x = 321.09

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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.