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Finding the Fourth Proportional to 542.09, 812.52 and 234.20

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Solution

The fourth proportional to 542.09, 812.52 and 234.20 is: 351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.09 : 812.52 = 234.20 : x
  2. Step 2: Convert to fraction form
    542.09/812.52 = 234.20/x
  3. Step 3: Cross multiply
    542.09x = 812.52 × 234.20
  4. Step 4: Simplify right side
    542.09x = 190,288.12
  5. Step 5: Solve for x
    x = 190,288.12/542.09
  6. Step 6: Final answer
    x = 351.03

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