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Finding the Fourth Proportional to 309.23, 424.34 and 281.39

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Solution

The fourth proportional to 309.23, 424.34 and 281.39 is: 386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.23 : 424.34 = 281.39 : x
  2. Step 2: Convert to fraction form
    309.23/424.34 = 281.39/x
  3. Step 3: Cross multiply
    309.23x = 424.34 × 281.39
  4. Step 4: Simplify right side
    309.23x = 119,405.03
  5. Step 5: Solve for x
    x = 119,405.03/309.23
  6. Step 6: Final answer
    x = 386.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.