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Finding the Fourth Proportional to 542.58, 749.34 and 367.62

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Solution

The fourth proportional to 542.58, 749.34 and 367.62 is: 507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.58 : 749.34 = 367.62 : x
  2. Step 2: Convert to fraction form
    542.58/749.34 = 367.62/x
  3. Step 3: Cross multiply
    542.58x = 749.34 × 367.62
  4. Step 4: Simplify right side
    542.58x = 275,472.37
  5. Step 5: Solve for x
    x = 275,472.37/542.58
  6. Step 6: Final answer
    x = 507.71

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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.