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Finding the Fourth Proportional to 541.12, 812.48 and 268.14

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Solution

The fourth proportional to 541.12, 812.48 and 268.14 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.12 : 812.48 = 268.14 : x
  2. Step 2: Convert to fraction form
    541.12/812.48 = 268.14/x
  3. Step 3: Cross multiply
    541.12x = 812.48 × 268.14
  4. Step 4: Simplify right side
    541.12x = 217,858.39
  5. Step 5: Solve for x
    x = 217,858.39/541.12
  6. Step 6: Final answer
    x = 402.61

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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.