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Finding the Fourth Proportional to 541.80, 747.72 and 367.23

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Solution

The fourth proportional to 541.80, 747.72 and 367.23 is: 506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.80 : 747.72 = 367.23 : x
  2. Step 2: Convert to fraction form
    541.80/747.72 = 367.23/x
  3. Step 3: Cross multiply
    541.80x = 747.72 × 367.23
  4. Step 4: Simplify right side
    541.80x = 274,585.22
  5. Step 5: Solve for x
    x = 274,585.22/541.80
  6. Step 6: Final answer
    x = 506.80

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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.