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Finding the Fourth Proportional to 309.89, 462.74 and 247.32

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Solution

The fourth proportional to 309.89, 462.74 and 247.32 is: 369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.89 : 462.74 = 247.32 : x
  2. Step 2: Convert to fraction form
    309.89/462.74 = 247.32/x
  3. Step 3: Cross multiply
    309.89x = 462.74 × 247.32
  4. Step 4: Simplify right side
    309.89x = 114,443.62
  5. Step 5: Solve for x
    x = 114,443.62/309.89
  6. Step 6: Final answer
    x = 369.31

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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.