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Finding the Fourth Proportional to 362.25, 501.22 and 315.72

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Solution

The fourth proportional to 362.25, 501.22 and 315.72 is: 436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.25 : 501.22 = 315.72 : x
  2. Step 2: Convert to fraction form
    362.25/501.22 = 315.72/x
  3. Step 3: Cross multiply
    362.25x = 501.22 × 315.72
  4. Step 4: Simplify right side
    362.25x = 158,243.14
  5. Step 5: Solve for x
    x = 158,243.14/362.25
  6. Step 6: Final answer
    x = 436.84

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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.