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Finding the Fourth Proportional to 386.32, 533.08 and 238.90

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Solution

The fourth proportional to 386.32, 533.08 and 238.90 is: 329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.32 : 533.08 = 238.90 : x
  2. Step 2: Convert to fraction form
    386.32/533.08 = 238.90/x
  3. Step 3: Cross multiply
    386.32x = 533.08 × 238.90
  4. Step 4: Simplify right side
    386.32x = 127,352.81
  5. Step 5: Solve for x
    x = 127,352.81/386.32
  6. Step 6: Final answer
    x = 329.66

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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.