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Finding the Fourth Proportional to 309.72, 463.80 and 270.96

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Solution

The fourth proportional to 309.72, 463.80 and 270.96 is: 405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.72 : 463.80 = 270.96 : x
  2. Step 2: Convert to fraction form
    309.72/463.80 = 270.96/x
  3. Step 3: Cross multiply
    309.72x = 463.80 × 270.96
  4. Step 4: Simplify right side
    309.72x = 125,671.25
  5. Step 5: Solve for x
    x = 125,671.25/309.72
  6. Step 6: Final answer
    x = 405.76

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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.