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Finding the Fourth Proportional to 358.82, 538.23 and 214.51

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Solution

The fourth proportional to 358.82, 538.23 and 214.51 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.82 : 538.23 = 214.51 : x
  2. Step 2: Convert to fraction form
    358.82/538.23 = 214.51/x
  3. Step 3: Cross multiply
    358.82x = 538.23 × 214.51
  4. Step 4: Simplify right side
    358.82x = 115,455.72
  5. Step 5: Solve for x
    x = 115,455.72/358.82
  6. Step 6: Final answer
    x = 321.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.