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Finding the Fourth Proportional to 362.74, 500.64 and 238.50

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Solution

The fourth proportional to 362.74, 500.64 and 238.50 is: 329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.74 : 500.64 = 238.50 : x
  2. Step 2: Convert to fraction form
    362.74/500.64 = 238.50/x
  3. Step 3: Cross multiply
    362.74x = 500.64 × 238.50
  4. Step 4: Simplify right side
    362.74x = 119,402.64
  5. Step 5: Solve for x
    x = 119,402.64/362.74
  6. Step 6: Final answer
    x = 329.17

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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.