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Finding the Fourth Proportional to 238.32, 358.89 and 208.26

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Solution

The fourth proportional to 238.32, 358.89 and 208.26 is: 313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.32 : 358.89 = 208.26 : x
  2. Step 2: Convert to fraction form
    238.32/358.89 = 208.26/x
  3. Step 3: Cross multiply
    238.32x = 358.89 × 208.26
  4. Step 4: Simplify right side
    238.32x = 74,742.43
  5. Step 5: Solve for x
    x = 74,742.43/238.32
  6. Step 6: Final answer
    x = 313.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.