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Finding the Fourth Proportional to 309.06, 465.84 and 293.22

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Solution

The fourth proportional to 309.06, 465.84 and 293.22 is: 441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.06 : 465.84 = 293.22 : x
  2. Step 2: Convert to fraction form
    309.06/465.84 = 293.22/x
  3. Step 3: Cross multiply
    309.06x = 465.84 × 293.22
  4. Step 4: Simplify right side
    309.06x = 136,593.60
  5. Step 5: Solve for x
    x = 136,593.60/309.06
  6. Step 6: Final answer
    x = 441.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.