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Finding the Fourth Proportional to 239.40, 330.12 and 186.84

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Solution

The fourth proportional to 239.40, 330.12 and 186.84 is: 257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.40 : 330.12 = 186.84 : x
  2. Step 2: Convert to fraction form
    239.40/330.12 = 186.84/x
  3. Step 3: Cross multiply
    239.40x = 330.12 × 186.84
  4. Step 4: Simplify right side
    239.40x = 61,679.62
  5. Step 5: Solve for x
    x = 61,679.62/239.40
  6. Step 6: Final answer
    x = 257.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.