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Finding the Fourth Proportional to 309.66, 463.31 and 270.86

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Solution

The fourth proportional to 309.66, 463.31 and 270.86 is: 405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.66 : 463.31 = 270.86 : x
  2. Step 2: Convert to fraction form
    309.66/463.31 = 270.86/x
  3. Step 3: Cross multiply
    309.66x = 463.31 × 270.86
  4. Step 4: Simplify right side
    309.66x = 125,488.48
  5. Step 5: Solve for x
    x = 125,488.48/309.66
  6. Step 6: Final answer
    x = 405.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.