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Finding the Fourth Proportional to 362.47, 500.08 and 238.20

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Solution

The fourth proportional to 362.47, 500.08 and 238.20 is: 328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.47 : 500.08 = 238.20 : x
  2. Step 2: Convert to fraction form
    362.47/500.08 = 238.20/x
  3. Step 3: Cross multiply
    362.47x = 500.08 × 238.20
  4. Step 4: Simplify right side
    362.47x = 119,117.97
  5. Step 5: Solve for x
    x = 119,117.97/362.47
  6. Step 6: Final answer
    x = 328.63

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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.