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Finding the Fourth Proportional to 296.13, 441.89 and 257.25

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Solution

The fourth proportional to 296.13, 441.89 and 257.25 is: 383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.13 : 441.89 = 257.25 : x
  2. Step 2: Convert to fraction form
    296.13/441.89 = 257.25/x
  3. Step 3: Cross multiply
    296.13x = 441.89 × 257.25
  4. Step 4: Simplify right side
    296.13x = 113,676.20
  5. Step 5: Solve for x
    x = 113,676.20/296.13
  6. Step 6: Final answer
    x = 383.87

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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.