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Finding the Fourth Proportional to 534.30, 737.42 and 386.88

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Solution

The fourth proportional to 534.30, 737.42 and 386.88 is: 533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.30 : 737.42 = 386.88 : x
  2. Step 2: Convert to fraction form
    534.30/737.42 = 386.88/x
  3. Step 3: Cross multiply
    534.30x = 737.42 × 386.88
  4. Step 4: Simplify right side
    534.30x = 285,291.12
  5. Step 5: Solve for x
    x = 285,291.12/534.30
  6. Step 6: Final answer
    x = 533.95

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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.