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Finding the Fourth Proportional to 362, 542.56 and 217.28

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Solution

The fourth proportional to 362, 542.56 and 217.28 is: 325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362 : 542.56 = 217.28 : x
  2. Step 2: Convert to fraction form
    362/542.56 = 217.28/x
  3. Step 3: Cross multiply
    362x = 542.56 × 217.28
  4. Step 4: Simplify right side
    362x = 117,887.44
  5. Step 5: Solve for x
    x = 117,887.44/362
  6. Step 6: Final answer
    x = 325.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.