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Finding the Fourth Proportional to 534.12, 737.04 and 301.20

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Solution

The fourth proportional to 534.12, 737.04 and 301.20 is: 415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.12 : 737.04 = 301.20 : x
  2. Step 2: Convert to fraction form
    534.12/737.04 = 301.20/x
  3. Step 3: Cross multiply
    534.12x = 737.04 × 301.20
  4. Step 4: Simplify right side
    534.12x = 221,996.45
  5. Step 5: Solve for x
    x = 221,996.45/534.12
  6. Step 6: Final answer
    x = 415.63

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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.