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Finding the Fourth Proportional to 296.89, 443.31 and 265.84

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Solution

The fourth proportional to 296.89, 443.31 and 265.84 is: 396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.89 : 443.31 = 265.84 : x
  2. Step 2: Convert to fraction form
    296.89/443.31 = 265.84/x
  3. Step 3: Cross multiply
    296.89x = 443.31 × 265.84
  4. Step 4: Simplify right side
    296.89x = 117,848.87
  5. Step 5: Solve for x
    x = 117,848.87/296.89
  6. Step 6: Final answer
    x = 396.94

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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.