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Finding the Fourth Proportional to 296.98, 443.38 and 256.38

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Solution

The fourth proportional to 296.98, 443.38 and 256.38 is: 382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.98 : 443.38 = 256.38 : x
  2. Step 2: Convert to fraction form
    296.98/443.38 = 256.38/x
  3. Step 3: Cross multiply
    296.98x = 443.38 × 256.38
  4. Step 4: Simplify right side
    296.98x = 113,673.76
  5. Step 5: Solve for x
    x = 113,673.76/296.98
  6. Step 6: Final answer
    x = 382.77

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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.