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Finding the Fourth Proportional to 309.12, 461.97 and 265.76

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Solution

The fourth proportional to 309.12, 461.97 and 265.76 is: 397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 461.97 = 265.76 : x
  2. Step 2: Convert to fraction form
    309.12/461.97 = 265.76/x
  3. Step 3: Cross multiply
    309.12x = 461.97 × 265.76
  4. Step 4: Simplify right side
    309.12x = 122,773.15
  5. Step 5: Solve for x
    x = 122,773.15/309.12
  6. Step 6: Final answer
    x = 397.17

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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.