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Finding the Fourth Proportional to 309.67, 462.26 and 275.35

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Solution

The fourth proportional to 309.67, 462.26 and 275.35 is: 411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.67 : 462.26 = 275.35 : x
  2. Step 2: Convert to fraction form
    309.67/462.26 = 275.35/x
  3. Step 3: Cross multiply
    309.67x = 462.26 × 275.35
  4. Step 4: Simplify right side
    309.67x = 127,282.14
  5. Step 5: Solve for x
    x = 127,282.14/309.67
  6. Step 6: Final answer
    x = 411.02

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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.