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Finding the Fourth Proportional to 362.47, 544.19 and 216.49

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Solution

The fourth proportional to 362.47, 544.19 and 216.49 is: 325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.47 : 544.19 = 216.49 : x
  2. Step 2: Convert to fraction form
    362.47/544.19 = 216.49/x
  3. Step 3: Cross multiply
    362.47x = 544.19 × 216.49
  4. Step 4: Simplify right side
    362.47x = 117,810.61
  5. Step 5: Solve for x
    x = 117,810.61/362.47
  6. Step 6: Final answer
    x = 325.02

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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.