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Finding the Fourth Proportional to 309.70, 463.78 and 240.65

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Solution

The fourth proportional to 309.70, 463.78 and 240.65 is: 360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.70 : 463.78 = 240.65 : x
  2. Step 2: Convert to fraction form
    309.70/463.78 = 240.65/x
  3. Step 3: Cross multiply
    309.70x = 463.78 × 240.65
  4. Step 4: Simplify right side
    309.70x = 111,608.66
  5. Step 5: Solve for x
    x = 111,608.66/309.70
  6. Step 6: Final answer
    x = 360.38

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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.