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Finding the Fourth Proportional to 362.98, 501.02 and 238.74

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Solution

The fourth proportional to 362.98, 501.02 and 238.74 is: 329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.98 : 501.02 = 238.74 : x
  2. Step 2: Convert to fraction form
    362.98/501.02 = 238.74/x
  3. Step 3: Cross multiply
    362.98x = 501.02 × 238.74
  4. Step 4: Simplify right side
    362.98x = 119,613.51
  5. Step 5: Solve for x
    x = 119,613.51/362.98
  6. Step 6: Final answer
    x = 329.53

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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.