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Finding the Fourth Proportional to 541.96, 747.78 and 367.40

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Solution

The fourth proportional to 541.96, 747.78 and 367.40 is: 506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.96 : 747.78 = 367.40 : x
  2. Step 2: Convert to fraction form
    541.96/747.78 = 367.40/x
  3. Step 3: Cross multiply
    541.96x = 747.78 × 367.40
  4. Step 4: Simplify right side
    541.96x = 274,734.37
  5. Step 5: Solve for x
    x = 274,734.37/541.96
  6. Step 6: Final answer
    x = 506.93

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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.