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Finding the Fourth Proportional to 386.10, 532.65 and 238.80

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Solution

The fourth proportional to 386.10, 532.65 and 238.80 is: 329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.10 : 532.65 = 238.80 : x
  2. Step 2: Convert to fraction form
    386.10/532.65 = 238.80/x
  3. Step 3: Cross multiply
    386.10x = 532.65 × 238.80
  4. Step 4: Simplify right side
    386.10x = 127,196.82
  5. Step 5: Solve for x
    x = 127,196.82/386.10
  6. Step 6: Final answer
    x = 329.44

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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.