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Finding the Fourth Proportional to 309.08, 461.45 and 262.78

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Solution

The fourth proportional to 309.08, 461.45 and 262.78 is: 392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.08 : 461.45 = 262.78 : x
  2. Step 2: Convert to fraction form
    309.08/461.45 = 262.78/x
  3. Step 3: Cross multiply
    309.08x = 461.45 × 262.78
  4. Step 4: Simplify right side
    309.08x = 121,259.33
  5. Step 5: Solve for x
    x = 121,259.33/309.08
  6. Step 6: Final answer
    x = 392.32

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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.