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Finding the Fourth Proportional to 309.96, 462.75 and 272.76

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Solution

The fourth proportional to 309.96, 462.75 and 272.76 is: 407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 462.75 = 272.76 : x
  2. Step 2: Convert to fraction form
    309.96/462.75 = 272.76/x
  3. Step 3: Cross multiply
    309.96x = 462.75 × 272.76
  4. Step 4: Simplify right side
    309.96x = 126,219.69
  5. Step 5: Solve for x
    x = 126,219.69/309.96
  6. Step 6: Final answer
    x = 407.21

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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.