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Finding the Fourth Proportional to 312.50, 467.99 and 230.49

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Solution

The fourth proportional to 312.50, 467.99 and 230.49 is: 345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.50 : 467.99 = 230.49 : x
  2. Step 2: Convert to fraction form
    312.50/467.99 = 230.49/x
  3. Step 3: Cross multiply
    312.50x = 467.99 × 230.49
  4. Step 4: Simplify right side
    312.50x = 107,865.86
  5. Step 5: Solve for x
    x = 107,865.86/312.50
  6. Step 6: Final answer
    x = 345.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.