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Finding the Fourth Proportional to 297.52, 444.25 and 266.47

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Solution

The fourth proportional to 297.52, 444.25 and 266.47 is: 397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.52 : 444.25 = 266.47 : x
  2. Step 2: Convert to fraction form
    297.52/444.25 = 266.47/x
  3. Step 3: Cross multiply
    297.52x = 444.25 × 266.47
  4. Step 4: Simplify right side
    297.52x = 118,379.30
  5. Step 5: Solve for x
    x = 118,379.30/297.52
  6. Step 6: Final answer
    x = 397.89

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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.