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Finding the Fourth Proportional to 295.55, 441.34 and 257.13

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Solution

The fourth proportional to 295.55, 441.34 and 257.13 is: 383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.55 : 441.34 = 257.13 : x
  2. Step 2: Convert to fraction form
    295.55/441.34 = 257.13/x
  3. Step 3: Cross multiply
    295.55x = 441.34 × 257.13
  4. Step 4: Simplify right side
    295.55x = 113,481.75
  5. Step 5: Solve for x
    x = 113,481.75/295.55
  6. Step 6: Final answer
    x = 383.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.