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Finding the Fourth Proportional to 239.02, 329.06 and 186.49

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Solution

The fourth proportional to 239.02, 329.06 and 186.49 is: 256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.02 : 329.06 = 186.49 : x
  2. Step 2: Convert to fraction form
    239.02/329.06 = 186.49/x
  3. Step 3: Cross multiply
    239.02x = 329.06 × 186.49
  4. Step 4: Simplify right side
    239.02x = 61,366.40
  5. Step 5: Solve for x
    x = 61,366.40/239.02
  6. Step 6: Final answer
    x = 256.74

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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.