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Finding the Fourth Proportional to 541.86, 812.78 and 217.22

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Solution

The fourth proportional to 541.86, 812.78 and 217.22 is: 325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.86 : 812.78 = 217.22 : x
  2. Step 2: Convert to fraction form
    541.86/812.78 = 217.22/x
  3. Step 3: Cross multiply
    541.86x = 812.78 × 217.22
  4. Step 4: Simplify right side
    541.86x = 176,552.07
  5. Step 5: Solve for x
    x = 176,552.07/541.86
  6. Step 6: Final answer
    x = 325.83

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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.