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Finding the Fourth Proportional to 493.31, 738.15 and 298.40

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Solution

The fourth proportional to 493.31, 738.15 and 298.40 is: 446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.31 : 738.15 = 298.40 : x
  2. Step 2: Convert to fraction form
    493.31/738.15 = 298.40/x
  3. Step 3: Cross multiply
    493.31x = 738.15 × 298.40
  4. Step 4: Simplify right side
    493.31x = 220,263.96
  5. Step 5: Solve for x
    x = 220,263.96/493.31
  6. Step 6: Final answer
    x = 446.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.