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Finding the Fourth Proportional to 238.69, 357.99 and 65.32

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Solution

The fourth proportional to 238.69, 357.99 and 65.32 is: 97.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.69 : 357.99 = 65.32 : x
  2. Step 2: Convert to fraction form
    238.69/357.99 = 65.32/x
  3. Step 3: Cross multiply
    238.69x = 357.99 × 65.32
  4. Step 4: Simplify right side
    238.69x = 23,383.91
  5. Step 5: Solve for x
    x = 23,383.91/238.69
  6. Step 6: Final answer
    x = 97.97

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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.