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Finding the Fourth Proportional to 309.69, 461.77 and 297.54

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Solution

The fourth proportional to 309.69, 461.77 and 297.54 is: 443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.69 : 461.77 = 297.54 : x
  2. Step 2: Convert to fraction form
    309.69/461.77 = 297.54/x
  3. Step 3: Cross multiply
    309.69x = 461.77 × 297.54
  4. Step 4: Simplify right side
    309.69x = 137,394.30
  5. Step 5: Solve for x
    x = 137,394.30/309.69
  6. Step 6: Final answer
    x = 443.65

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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.