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Finding the Fourth Proportional to 542.34, 747.90 and 367.38

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Solution

The fourth proportional to 542.34, 747.90 and 367.38 is: 506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.34 : 747.90 = 367.38 : x
  2. Step 2: Convert to fraction form
    542.34/747.90 = 367.38/x
  3. Step 3: Cross multiply
    542.34x = 747.90 × 367.38
  4. Step 4: Simplify right side
    542.34x = 274,763.50
  5. Step 5: Solve for x
    x = 274,763.50/542.34
  6. Step 6: Final answer
    x = 506.63

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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.