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Finding the Fourth Proportional to 309.93, 428.79 and 271.23

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Solution

The fourth proportional to 309.93, 428.79 and 271.23 is: 375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.93 : 428.79 = 271.23 : x
  2. Step 2: Convert to fraction form
    309.93/428.79 = 271.23/x
  3. Step 3: Cross multiply
    309.93x = 428.79 × 271.23
  4. Step 4: Simplify right side
    309.93x = 116,300.71
  5. Step 5: Solve for x
    x = 116,300.71/309.93
  6. Step 6: Final answer
    x = 375.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.