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Finding the Fourth Proportional to 335.92, 505.90 and 295.78

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Solution

The fourth proportional to 335.92, 505.90 and 295.78 is: 445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.92 : 505.90 = 295.78 : x
  2. Step 2: Convert to fraction form
    335.92/505.90 = 295.78/x
  3. Step 3: Cross multiply
    335.92x = 505.90 × 295.78
  4. Step 4: Simplify right side
    335.92x = 149,635.10
  5. Step 5: Solve for x
    x = 149,635.10/335.92
  6. Step 6: Final answer
    x = 445.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.