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Finding the Fourth Proportional to 534.28, 737.30 and 301.40

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Solution

The fourth proportional to 534.28, 737.30 and 301.40 is: 415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.28 : 737.30 = 301.40 : x
  2. Step 2: Convert to fraction form
    534.28/737.30 = 301.40/x
  3. Step 3: Cross multiply
    534.28x = 737.30 × 301.40
  4. Step 4: Simplify right side
    534.28x = 222,222.22
  5. Step 5: Solve for x
    x = 222,222.22/534.28
  6. Step 6: Final answer
    x = 415.93

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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.