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Finding the Fourth Proportional to 358.96, 538.20 and 214.78

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Solution

The fourth proportional to 358.96, 538.20 and 214.78 is: 322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.96 : 538.20 = 214.78 : x
  2. Step 2: Convert to fraction form
    358.96/538.20 = 214.78/x
  3. Step 3: Cross multiply
    358.96x = 538.20 × 214.78
  4. Step 4: Simplify right side
    358.96x = 115,594.60
  5. Step 5: Solve for x
    x = 115,594.60/358.96
  6. Step 6: Final answer
    x = 322.03

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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.