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Finding the Fourth Proportional to 342.24, 469.22 and 336.09

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Solution

The fourth proportional to 342.24, 469.22 and 336.09 is: 460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 469.22 = 336.09 : x
  2. Step 2: Convert to fraction form
    342.24/469.22 = 336.09/x
  3. Step 3: Cross multiply
    342.24x = 469.22 × 336.09
  4. Step 4: Simplify right side
    342.24x = 157,700.23
  5. Step 5: Solve for x
    x = 157,700.23/342.24
  6. Step 6: Final answer
    x = 460.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.