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Finding the Fourth Proportional to 297.91, 445.70 and 263.28

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Solution

The fourth proportional to 297.91, 445.70 and 263.28 is: 393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.91 : 445.70 = 263.28 : x
  2. Step 2: Convert to fraction form
    297.91/445.70 = 263.28/x
  3. Step 3: Cross multiply
    297.91x = 445.70 × 263.28
  4. Step 4: Simplify right side
    297.91x = 117,346.23
  5. Step 5: Solve for x
    x = 117,346.23/297.91
  6. Step 6: Final answer
    x = 393.90

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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.