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Finding the Fourth Proportional to 309.50, 465.30 and 218.58

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Solution

The fourth proportional to 309.50, 465.30 and 218.58 is: 328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.50 : 465.30 = 218.58 : x
  2. Step 2: Convert to fraction form
    309.50/465.30 = 218.58/x
  3. Step 3: Cross multiply
    309.50x = 465.30 × 218.58
  4. Step 4: Simplify right side
    309.50x = 101,705.27
  5. Step 5: Solve for x
    x = 101,705.27/309.50
  6. Step 6: Final answer
    x = 328.61

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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.