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Finding the Fourth Proportional to 534.90, 738.08 and 298.83

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Solution

The fourth proportional to 534.90, 738.08 and 298.83 is: 412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.90 : 738.08 = 298.83 : x
  2. Step 2: Convert to fraction form
    534.90/738.08 = 298.83/x
  3. Step 3: Cross multiply
    534.90x = 738.08 × 298.83
  4. Step 4: Simplify right side
    534.90x = 220,560.45
  5. Step 5: Solve for x
    x = 220,560.45/534.90
  6. Step 6: Final answer
    x = 412.34

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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.