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Finding the Fourth Proportional to 542.19, 748.83 and 367.23

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Solution

The fourth proportional to 542.19, 748.83 and 367.23 is: 507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.19 : 748.83 = 367.23 : x
  2. Step 2: Convert to fraction form
    542.19/748.83 = 367.23/x
  3. Step 3: Cross multiply
    542.19x = 748.83 × 367.23
  4. Step 4: Simplify right side
    542.19x = 274,991.00
  5. Step 5: Solve for x
    x = 274,991.00/542.19
  6. Step 6: Final answer
    x = 507.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.