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Finding the Fourth Proportional to 297.14, 443.39 and 266.49

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Solution

The fourth proportional to 297.14, 443.39 and 266.49 is: 397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.14 : 443.39 = 266.49 : x
  2. Step 2: Convert to fraction form
    297.14/443.39 = 266.49/x
  3. Step 3: Cross multiply
    297.14x = 443.39 × 266.49
  4. Step 4: Simplify right side
    297.14x = 118,159.17
  5. Step 5: Solve for x
    x = 118,159.17/297.14
  6. Step 6: Final answer
    x = 397.66

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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.